Question

The perimeter of a rectangle is 28x³+ 16x² + 8x + 4. One of its sides is 8x² + 4x. Find the other side 

Answer 1

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) = `(28"x"^3 + 4)/2 = 14"x"^3 + 2`