Solve the problem.
-A shop keeper is making a triangular sign for his store front, but he must keep the sign under $20 \mathrm{ft}^{2}$ to adhere to zoning laws. If the base of the sign is $20 \mathrm{ft}$, what is the maximum height of the triangular sign?
A) $0.500 \mathrm{ft}$
B) $1.00 \mathrm{ft}$
C) $2.0 \mathrm{ft}$
D) $20 \mathrm{ft}$

Question

Quizplus · Accepted Answer

The area of a triangle is given by the formula $ \frac{1}{2} \times \text{base} \times \text{height} $. To find the maximum height that keeps the area under $20 \mathrm{ft}^{2}$, we set the area to $20 \mathrm{ft}^{2}$ and solve for the height: $20 = \frac{1}{2} \times 20 \times \text{height}$, which simplifies to $20 = 10 \times \text{height}$. Solving for height gives $2.0 \mathrm{ft}$.

Solve the Problem 20ft220 \mathrm{ft}^{2}20ft2 To Adhere to Zoning Laws 20ft20 \mathrm{ft}20ft

Solve the Problem $20 \mathrm{ft}^{2}$ To Adhere to Zoning Laws $20 \mathrm{ft}$