Question

1. the area of the triangle is 4.5 square feet. what is the missing side length? 18 in. ? m 3 feet p 36 inches r 72 inches s 9 feet

Explanation:

Step1: Convert height to feet

Since 1 foot = 12 inches, 18 inches = $\frac{18}{12}=1.5$ feet.

Step2: Use triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $A$ is the area, $b$ is the base, and $h$ is the height. We know $A = 4.5$ square feet and $h=1.5$ feet. Rearranging the formula for $b$ gives $b=\frac{2A}{h}$.

Step3: Calculate the base length

Substitute $A = 4.5$ and $h = 1.5$ into the formula: $b=\frac{2\times4.5}{1.5}=\frac{9}{1.5}=6$ feet. Convert 6 feet to inches: 6 feet $\times12 = 72$ inches.

Answer:

R. 72 inches