Question

The perimeter of a rectangle is twice the sum of its lenth and its width. the perimeter is 22 meters and its length is 2 meters more than its width.

What is the Length?

Answer 1

Answer: the length is 6.5 meters

Explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The length of the rectangle is 2 meters more than its width. This means that

L = W + 2

The perimeter if the rectangle is 22 meters. It means that

22 = 2(L + W)

L + W = 22/2 = 11

Substituting L = W + 2 into L + W = 11, it becomes

W + 2 + W = 11

2W = 11 - 2 = 9

W = 9/2 = 4.5

L = W + 2 = 4.5 + 2

L = 6.5 meters

Answer 2

The width of the rectangle is 4.5 meters and its length is 6.5 meters

Explanation:

1. Let's review the information given to us to answer the question correctly:

Length of the rectangle = 2 m greater than its width

Perimeter of the rectangle = 22 m

Find the dimensions of the rectangle.

x = Width of the rectangle

x + 2 = Length of the rectangle

Now, let's solve for x, using the perimeter formula this way:

2 * width + 2 * length = Perimeter of the rectangle

Replacing with the values and variables we have:

2 * x + 2 * (x + 2) = 22

2x + 2x + 4 = 22

4x = 22 - 4

4x = 18

x = 18/4 = 4.5 ⇒ x + 2 = 6.5

The width of the rectangle is 4.5 meters and its length is 6.5 meters