Answer:
6
Step-by-step explanation:
The formula of an area of a rectangle:
[tex]A_r=lw[/tex]
l - length
w - width
We have l = 12 in and w = 8 in.
Substitute:
[tex]A_r=(12)(8)=96\ in^2[/tex]
The formula of an area of a triangle:
[tex]A_t=\dfrac{bh}{2}[/tex]
b - base
h - altitutde
We have b = 32 in and A - 96 in².
Substitute:
[tex]\dfrac{32h}{2}=96[/tex]
[tex]16h=96[/tex] divide both sides by 16
[tex]h=6\ in[/tex]
