Question

The perimeter of a rectangle is 30 inches. Its length is three times its width. Write an equation to represent the problem

Answer 1

Eqn of the problem: 2(3x + x) = 30

Solution: Width = 3.75 inches and Length= 11.25 inches

Explanation:

We are given;

• The perimeter of the rectangle as 30 inches
• Length is 3 times its width

We are required to represent the equation of the problem;

• Assuming the width = x inches, then;
• Length = 3x inches

The formula for getting the perimeter of a rectangle is;

Perimeter = 2 (l+w)

In this case;

2(3x + x) = 30

Therefore;

The equation for the problem is;

2(3x + x) = 30

8x=30

Thus;

8x = 30

x = 3.75 inches

3x = 11.25 inches

Hence, the with is 3.75 inches while the length is 11.25 inches