Algebraic Perimeter Word Problems

The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Which equation represents how to find the length and the width?

• 4x + 24 = 156

• 2x - 12 = 156

• 2x + 12 = 156

• 4x - 24 = 156

The first side of a triangle is 3 m shorter than the second side. The third side is 4 times as long as the second side. The perimeter is 63 m. Which equation represents how to find the length of each side?

• 3x - 3 = 63

• 6x - 3 = 63

• 3x = 63

• 3x + 3 = 63

The first side of a triangle is 7 cm shorter than twice the second side. The third side is 4 cm longer than the second side. The perimeter is 77 cm. Which equation represents how to find each side?

• 4x + 3 = 77

• 3x - 11 = 77

• 3x - 3 = 77

• 4x - 3 = 77

A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side c is 3 m longer than side b. Which equation represents how to find each side?

• 4x + 1 = 25

• 3x + 1 = 25

• 3x + 3 = 25

• 4x + 5 = 25

The length of a rectangle is 4 times the width. The perimeter is 60 cm. What equation represents how to find the length and width?

• 10x = 60

• 4x = 60

• 5x = 60

• 8x = 60