Question

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of

equations that represents this problem. What is the area of the rectangle?

Answer 1

81 square inches.

Explanation:

Draw a diagram to represent what you know.

You don't know the values of the lengths so represent them algebraically.

You know the perimeter is 45 inches and that the perimeter is calculated by the sum of all of the sides of a shape.

You can rearrange to find the value of a side you've denoted as some unknown variable.

The area is given by the product of the sides. Express this algebraically and then input the value you found.