Answer:
Length = 4 units
Step-by-step explanation:
Width = x units
Length = (x + 4) units
Area = 32 square units
length * width = 32
(x +4) *x = 32
x *x + 4 * x = 32
x² + 4x -32 = 0
Sum = 4
Product = -32
Factor = 8 , (-4)
x² + 4x -32 = 0
x² + 8x - 4x - 4 * 8 = 0
x(x + 8) - 4(x +8) = 0
(x + 8) (x - 4) = 0
(x + 8) is ignored because measurements will not have negative sign.
x-4 =0
x = 4
Width = 4 units
Length = x + 4 = 4 + 4 = 8 units
