Question

The rectangle shown has a perimeter of 56 cm and the given area. Its length is 8 times more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answer 1

Dimensions of rectangle = 23 cm x 5 cm

Explanation:

Equations we can form

• Perimeter of 56 cm

⇒ 2L + 2W = 56

⇒ L + W = 28

• Length is 8 more than 3 times its width

⇒ L = 3W + 8

Substitute in previous equation

⇒ 3W + 8 + W = 28

⇒ 4W = 20

⇒ W = 5 cm

⇒ L = 28 - 5 = 23 cm