Question

The length of a rectangle is equal to

three times its width. If the perimeter of
the shape is equal to 56 feet, what is the
length and what is the width?

Answer 1

the length of the rectangle is 21 feet.

Explanation:

Let's use "w" to represent the width of the rectangle. According to the problem, the length is three times the width, so we can use "3w" to represent the length.

The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

Substituting the expressions for length and width, we get:

56 = 2(3w + w)

Simplifying the right side, we get:

56 = 2(4w)

56 = 8w

w = 7

So the width of the rectangle is 7 feet. To find the length, we can use the expression we derived earlier:

length = 3w = 3(7) = 21

Therefore, the length of the rectangle is 21 feet.