Question

a rectangle has a width of 7.9 ft and a perimeter of 27.2 ft. enter the length of the rectangle, in decimal form, in the box.

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width.

Step2: Substitute known values

We know $P = 27.2$ ft and $w=7.9$ ft. So, $27.2 = 2(l + 7.9)$.

Step3: Solve for $l$

First, divide both sides of the equation by 2: $\frac{27.2}{2}=l + 7.9$, which simplifies to $13.6=l + 7.9$. Then subtract 7.9 from both sides: $l=13.6 - 7.9$.

Step4: Calculate the length

$l = 5.7$ ft.

Answer:

$5.7$