The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.

Question

asked Dec 13, 2021 160k views

2 Answers

ZTrix · Answer 1 · 2021-12-19T10:20:37+0000

Answer:

Length: 7

Width: 4

Explanation:

We can create a system of equations for this problem, where
is the width and
is the length.

The perimeter of a rectangle is twice its length added to twice its width.

2l+2w=22

The length is 3 more than the width:

l = w+3

We can now substitute in
w+3 as
in the equation
2l+2w=22 .

2(w+3) + 2w = 22

Distribute the first terms:

2w+6+2w=22

Combine like terms:

4w+6=22

Subtract 6 from both sides:

4w=16

Divide both sides by 4:

w = 4

Now we know that w = 4. We can now substitute this inside an equation to find
.

$l = w+3\\\\l = 4+3\\\\l=7$

Hope this helped!