Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d135f59b460d7261f3f6.JPG' />
From the above image, how much paper of green shade is needed to make a kite in which ABCD is a square with diagonal 44 cm?
Question 2 :
From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle.
Question 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bff59b460d7261f4bb.JPG' />
Refer to the above image. The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m. The advertisements yield an earning of $Rs. 5000/m^2$ per year. A company hired one of its walls for 3 months. How much rent did it pay?
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d137f59b460d7261f3f9.JPG' />
From the above image, a design is made on a rectangular tile of dimensions 50 cm × 70 cm. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the remaining area of the tile.
Question 6 :
Write True or False. If the side of a rhombus is 10 cm and one diagonal is 16 cm, the area of the rhombus is 96 $cm^2$.
Question 7 :
The sides of a triangle are 56 cm, 60 cm and 52 cm long. Find the area of the triangle.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d133f59b460d7261f3f2.JPG' />
From the above image, find the area of the trapezium PQRS.
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bff59b460d7261f4bc.PNG' />
Refer to the above image. Radha made a picture of an aeroplane with coloured paper as shown in figure above. Find the total area of the paper used.
Question 10 :
An isosceles right triangle has area 8 $cm^2$. The length of its hypotenuse is
Question 11 :
A triangular park ABC has sides 120m, 80m and 50m. A gardener Dhania has to put a fence all around it and also plant grass inside. find the cost of fencing it with barbed wire at the rate of Rs 20 per metre leaving a space 3m wide for a gate on one side.
Question 12 :
If each side of a triangle is doubled, then find the ratio of area of the new triangle thus formed and the given triangle.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bcf59b460d7261f4b7.JPG' />
Refer to the above image. Students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB, BC and CA; while the other through AC, CD and DA. Then they cleaned the area enclosed within their lanes. If AB = 9 m, BC = 40 m, CD = 15 m, DA = 28 m and $\angle B = 90^{\circ}$, Find the total area cleaned by the students.
Question 14 :
The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bbf59b460d7261f4b6.JPG' />
Refer to the above image. Kamla has a triangular field with sides 240 m, 200 m, 360 m, where she grew wheat. In another triangular field with sides 240 m, 320 m, 400 m adjacent to the previous field, she wanted to grow potatoes and onions. She divided the field in two parts by joining the mid-point of the longest side to the opposite vertex and grew potatoes in one part and onions in the other part. How much area is been used for potatoes? $\begin{pmatrix}1\ hectare = 10000 m^2\end{pmatrix}$
Question 16 :
An Isosceles triangle, with base a and equal sides b, what will be it's area formula?
Question 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d132f59b460d7261f3f1.JPG' />
From the above image, find the length of the altitude from vertex A on the side DC.
Question 19 :
The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field.
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d136f59b460d7261f3f7.JPG' />
From the above image, the dimensions of a rectangle ABCD are 51 cm × 25 cm. A trapezium PQCD with its parallel sides QC and PD in the ratio 9 : 8, is cut off from the rectangle. If the area of the trapezium PQCD is $\frac{5}{6}th$ part of the area of the rectangle, find the lengths QC.
Question 21 :
The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.
Question 22 :
Write True or False. The area of a regular hexagon of side $a$ is the sum of the areas of the five equilateral triangles with side $a$.
Question 23 :
The sides of a triangular field are 41 m, 40 m and 9 m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs 900 $cm^2$ space.
Question 24 :
If a, b, c are the lengths of three sides of a triangle, then area of a triangle =$\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$, where s = perimeter of triangle. Write True or False.
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1c0f59b460d7261f4bd.PNG' />
Refer to the above image. A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in above figure. How much paper of shade has been used in 3 part?
Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1c2f59b460d7261f4bf.PNG' />
Refer to the above image. A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in above figure. How much paper of shade has been used in 1 and 2 part it?
Question 28 :
Write True or False. The cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs 3 per $m^2$ is Rs 918.
Question 30 :
If the area of an equilateral triangle is $16\sqrt{3}$ $cm^2$, then find the perimeter of the triangle.
Question 31 :
Write True or False. In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. The length of the altitude is 10.25 cm corresponding to the side having length 12 cm.
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d135f59b460d7261f3f5.JPG' />
From the above image, how much paper of red shade is needed to make a kite in which ABCD is a square with diagonal 44 cm?
Question 33 :
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram
Question 34 :
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle. Find the area of the signal board, using Heron’s formula if its perimeter is 180 cm?
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1baf59b460d7261f4b4.JPG' />
Refer to the above image. Kamla has a triangular field with sides 240 m, 200 m, 360 m, where she grew wheat. In another triangular field with sides 240 m, 320 m, 400 m adjacent to the previous field, she wanted to grow potatoes and onions. She divided the field in two parts by joining the mid-point of the longest side to the opposite vertex and grew potatoes in one part and onions in the other part. How much area is been used for wheat ? $\begin{pmatrix}1\ hectare = 10000 m^2\end{pmatrix}$
Question 36 :
Find the area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm.
Question 37 :
The edges of a triangular board are 6 cm, 8 cm and 10 cm. Find the cost of painting it at the rate of 9 paise per $cm^2$.
Question 38 :
A triangular park ABC has sides 120m, 80m and 50m. A gardener Dhania has to put a fence all around it and also plant grass inside. How much area does she need to plant?
Question 39 :
A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of Rs 5 per $m^2$ . Find the cost of painting.
Question 41 :
Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of Rs 7 per $m^2$.
Question 42 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bef59b460d7261f4ba.JPG' />
There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.
Question 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d134f59b460d7261f3f4.JPG' />
From the above image, how much paper of yellow shade is needed to make a kite in which ABCD is a square with diagonal 44 cm?
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d139f59b460d7261f3fb.png' />
From the above figure, calculate the area of the shaded region.
Question 45 :
Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540cm. Find its area.
Question 46 :
A field in the form of a parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Find the area of the parallelogram.
Question 47 :
Find the length of each side of an equilateral triangle having an area of $9\sqrt{3}$ $cm^2$.
Question 48 :
The perimeter of an equilateral triangle is 60 m. Find the area.
Question 49 :
An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.
