Question

The width of a rectangle is 1 2 of its length. What are the sides of the rectangle if its perimeter is 63 in.? Answer: The width is in, the length is in

Answer 1

The length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches

Explanation:

Let x inches be the length of the rectangle, then the width of the rectangle is inches.

The perimeter of the rectangle is the sum of all sides' lengths:

Thus,

Hence, the length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches.

Answer 2

The length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches

Explanation:

Let x inches be the length of the rectangle, then the width of the rectangle is
`(1)/(2)x` inches.

The perimeter of the rectangle is the sum of all sides' lengths:

`P_(rectangle)=2(\text{Width}+\text{Length})`

Thus,

`63=2\left(x+(1)/(2)x\right) \\ \\63=2\cdot (3)/(2)x\\ \\63=3x\\ \\x=21`

Hence, the length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches.