Question

NEED HELP A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the shaded region is 84 square inches. Write an equation you can use to find the side length s. An equation is =84.

Answer 1

Answer: 14s - 7s/2 = 84

Explanation:

Given that s is the length of the unknown side:

Area of the shaded region = 84

Area of rectangle - Area of triangle = 84

Area of rectangle = L * W

= 14 * s

= 14s

Area of triangle = ¹/₂ * base * height

= ¹/₂ * 14 * s/2

= 7s/2

Area of shaded region:

14s - 7s/2 = 84

Solving for s:

14s - 7s/2 = 84

28s - 7s = 168

21s = 168

s = 168/21

s = 8 inches