Question

Can someone please help me out? I would really appreciate it. No links or fake answers please. Thanks for understanding.

The area of a rectangle is 72 sq. ft. If the length is twice the width, what is the measure of the length of the rectangle?
A. 6 ft
B. 12 ft
C. 18 ft
D. 24 ft

Answer 1

B) 12 feet.

Explanation:

The area of a rectangle is given by:

`A=w \ell`

Where w is the width and l is the length.

We are given that the length is twice the width. In other words:

`\ell =2w`

We also know that the area is 72 square feet.

Substitute:

`72=w(2w)`

Solve for w:

`72=2w^2`

Divide both sides by two:

`w^2=36`

And take principal square root of both sides:

`w=√(36)=6`

So, the width is six feet.

And since the length is twice the width, the length is 12 feet.

Our answer is B.