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Archy [21]
2 years ago
9

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 s

haded region is 84 square inches. Write an equation you can use to find the side length s. An equation is =84.
Mathematics
1 answer:
Nesterboy [21]2 years ago
4 0

Answer: 14s - 7s/2 = 84

Step-by-step 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

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