the perimeter of a rectangle is 28x^3+16x^2+8x+4.One of its side is 8x^2+4x. Find the other side.
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Step-by-step explanation:
Perimeter of a rectangle (2l + 2b)
= 28x3 + 16x2 + 8x + 4
Let one side (l) = 8x2 + 4x
∴ 2l = 2(8x2 + 4x) = 16x2 + 8x
∴ 2b = (28x3 = 16x2 + 8x + 4) – (16x2 + 8x)
= 28x3 + 16x2 + 8x + 4 – 16x2 – 8x
= 28x3 + 4
∴ Other side (b) = (28x3 + 4)/2
= 14x3 + 2
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