Solve the problem.
-A shop keeper is making a triangular sign for his store front, but he must keep the sign under 20 ft2 to adhere to zoning laws. If the base of the sign is 16 ft, what is the maximum height of the triangular sign?
A)24 ft
B)2.5 ft
C)1.25 ft
D)0.625 ft

Question

Quizplus · Accepted Answer

The area of a triangle is given by the formula $ \frac{1}{2} \times \text{base} \times \text{height} $. To keep the area under 20 ft$^2$, and given the base is 16 ft, we solve for height in $ 20 = \frac{1}{2} \times 16 \times \text{height} $, which gives a maximum height of 2.5 ft.

Solve the Problem. -A Shop Keeper Is Making a Triangular Sign for His