Question

What is the measure of the base of the rectangle if the area of the triangle is 32 ft2 ?A) 8 ftB) 16 ft C) 32 ftD) 64 ft

Answer 1

B) 16 ft

Step-by-step explanation:

The area of a triangle is equal to

`Area\text{ =}(Base* Height)/(2)`

We know that the area is 32 ft² and the height is 4 ft, so replacing these values, we get

`32=\frac{\text{Base}*4}{2}`

Now, we can solve for the base. So multiply both sides by 2

`\begin{gathered} 32*2=\frac{\text{Base }*4}{2}*2 \\ 64=\text{Base }*4 \end{gathered}`

Then divide both sides by 4

`\begin{gathered} (64)/(4)=(Base*4)/(4) \\ 16=\text{Base} \end{gathered}`

Therefore, the measure of the base is 16 ft