Question

The area of a rectangle is 128 sq. ft. If the width is twice the length, what is the measure of the length of the rectangle?A.4 ftB.8 ftC.12 ftD.16 ft

Answer 1

B. 8ft

Explanation:

The formula for the area of a rectangle:

$\text{width }\cdot\text{ length = Area}$

Since the width here is twice the length => width = 2* length

Let's say that length = x

=> width = 2x

Formula

$\begin{gathered} \text{Area = }x\cdot2x \\ 128\text{ = x }\cdot2x \\ 128\text{ =}2x^2 \\ 2x^2=128 \\ x^2=64 \\ x=8\text{ or -8} \end{gathered}$

Since the measure can only be positive the length is 8 ft long