Bill's new porch is rectangular, with an area of 50 square feet. if the length of the porch is two times the width, what is the

Question

2 months ago

8

perimeter of the porch?

1 answer:

Zina [12.3K] · Answer 1 · 2026-02-17T20:25:51+03:00

Solution:

First, determine the porch's perimeter.

Using the formula:

Area of rectangle = Length × Width

Given that Bill's porch has an area of 50 square feet and the length is twice the width, let the width be x.

Then, length = 2x.

Plugging into the formula:

50 = x × 2x

50 = 2x²

$x^{2} = \frac{50}{2}$

x² = 25

$x = \sqrt{25}$

x = 5 feet, thus the width is 5 feet.

Length = 2 × 5 = 10 feet.

Using the perimeter formula:

Perimeter = 2 × (Length + Width)

Substitute the values:

Perimeter = 2 × (10 + 5) = 2 × 15 = 30 feet

Hence, the porch's perimeter is 30 feet.