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Textbook Page No. 81, , Question 1., , When each side of a square was, reduced by 2 metres, the area, became 49 square metres. What was, the length of a side of the original, square?, , Answer:, , Let the length of each side of the, original square be x, then, , (x -2¥= 49, , x-2=+7, , x-2=7 x-2=-7, x=7+2=9 x=-7+2=-5, , The length of each side of the original, square =9cm

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Question 2., , A square ground has a 2 metre wide, path all around it. The total area of, the ground and the path is 1225, square metres. What is the area of, the ground alone?, , Answer:, , ‘Each side of the ground = x, , Each side of groundtpath =x +4, (x + 4)? = 1225 = 35%;, , x+4=35, , x= 35-4=31, , x+4, , , , Area of the ground alone = 317 = 961

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Question 3., , The square of a term in the, arithmetic sequence 2, 5, 8, ....... _1S, 2500. What is its position?, , Answer:, , Let 2500 is the square of the n™ term, of the arithmetic sequence 2, 5, 8,, , x, = dn + (f-d), =3n+(2-3)=3n-1, , (3n - 1Y = 2500, , 3n-1=50, , 3n= 51, , n=17, , It is the 17" term.

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Question 4., , 2000 rupees was deposited ina, scheme in which interest is, compounded annually. After two, years the amount in the account was, 2205 rupees. What is the rate of, interest?, , Answer:, , Amount (P) = 2000, , Compound interest (r %), , Year (n), , i+ | =A: 2009 1+ 7) =2205, 100 , 100, , 7” -) 2205 441, 2000 400, , , , , , 100+r) 21 _ 21x100, ( 100 )-3 ; 100+r= 3, , 2100, , 20, r =105-100 =5, Interest rate = 5%