Question

PLEASE HURRY, 20 POINTS

A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 feet. What is the width of the rectangle in feet? Enter your answer as a decimal in the box.

Answer 1

2.4

Explanation:

Answer 2

`2.4\text{ feet}`

Explanation:

A rectangle's perimeter is given by the formula:

`P=2(l+w)`

A rectangle's area is given by the formula:

`A=lw`

We are given that they have the same numerical value. In other words:

`2(l+w)=lw`

And we are also given that the length is 12 feet. So, substitute 12 for l:

`2(12+w)=12w`

To solve for the width, we just need to solve for w.

On the left, distribute:

`24+2w=12w`

Subtract 2w from both sides. The left side cancels:

`24=10w`

Divide both sides by 10. Flip also:

`w=(24)/(10)`

Reduce both layers. Use 2. So:

`w=12/5=2.4`

So, the width is 2.4 feet.

And we're done!