the length and breadth of a rectangle are a plus 5 units and 7 minus b units respectively the perimeter of the rectangle is equal to the perimeter of a square. find how much is the area of the rectangle less than that of the square? please help me guys
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shrajalchoudhary
Perimeter of rectangle=2(l+b)
2(a+5b+7a-b)
2a+10b+14a-2b
p=16a-8b=the area of square
therefore side of square 16a-8b divided by 4
4a+2b=side of square
area of square =4a+2bX4a+2b
(a+b)2=a2+2ab+b2
so area =16a2+16ab+4b2 (1)
area of rctangle =lXb=(a+5b)X(7a-b)
=7a2-ab+35ab-5b2 (2)
(1)-(2)=9a2-18ab+9b2 this much is the area of rectangle less than that of square
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