Question

The perimeter of a rectangle is 36 inches, and its length is twice its width. What is the area of the rectangle?​

Answer 1

Answer: the area of the rectangle is 72 square inches.

Explanation:

Answer 2

Let's call the width of the rectangle "W" inches.

According to the Question,

• the length of the rectangle is twice its width, so the length is "2W" inches.

The formula for the perimeter of a rectangle is:

• Perimeter = 2(length + width)

In this case, the perimeter is given as 36 inches, so we can set up the equation:

• 36 = 2(2W + W)

Now, we can solve for the width "W":

• 36 = 2(3W)

Divide both sides by 2:

• 18 = 3W

Now, divide both sides by 3 to solve for "W":

• W = 18 / 3
• W = 6 inches

So, the width of the rectangle is 6 inches, and the length is twice that, which is 2 * 6 = 12 inches.

Now that we know the dimensions of the rectangle, we can calculate its area. The formula for the area of a rectangle is:

• Area = Length * Width

• Area = 12 inches * 6 inches = 72 square inches

So, the area of the rectangle is 72 square inches.

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