Question

A rectangle is to be made with perimeter 100m & area 525 square metres. what should be the length of its sides?

Answer 1

Here is your answer dear friend,
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Area = 525m²
length x Breadth = 525
lxB = 525-----------------(1)

perimeter= 100m
2(l+B) = 100
l+B = 50
l = 50-B--------------------(2)

putting (2) in (1)
(50-B) B = 525
50B - B² = 525
0= B² -50B +525
0= B² -35B -15B +525
0 = B(B-35) -15(B-35)
0= (B-15)(B-35)
so,
B= 15 or 35
L = 35 or 15
so, the pair of sides can be=(15,35) (35,15)
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