Question

The area of a rectangle is 96 square centimeters. If the width of the rectangle is 4 centimeters less than its length, what are the dimensions of the rectangle?

Answer 1

width is given = 4 cm , length = area / width = 96 / 4=24 cm

Answer 2

let length = x cm
then width = (x-4) cm

area of rect = l x b
so x (x-4) = 96
x^2 - 4x - 96 = 0
x^2 -12x +8x - 96 = 0
x(x-12) +8(x-12) = 0
(x+8)(x-12) = 0
this is possible only if either x+8 = 0 or x-12 = 0
if x+8 = 0 then x= -8 but this is not possible as length cannot be negative
if x-12 = 0 then x = 12

So length of rectangle is 12 cm and breadth is 12-4 = 8cm

Answer 3

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