Question

directions: type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. jarred drew the model below of his backyard. the perimeter of the backyard is 40 feet, and the backyard is 8 feet wide. how many feet long are all the sides of his backyard? figure not drawn to scale.

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 $P = 40$ feet and $w=8$ feet. So, $40=2(l + 8)$.

Step3: Solve for length

First, divide both sides of the equation by 2: $\frac{40}{2}=l + 8$, which simplifies to $20=l + 8$. Then subtract 8 from both sides: $l=20 - 8=12$ feet.

Answer:

The two longer sides are 12 ft each and the two shorter sides are 8 ft each. So the values to fill in the boxes (from top - down, left - right) are 12, 12, 8.