Section: Mathematical Reasoning

50) A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?

1. 6
2. 8
3. 9
4. 12
5. 16

Area of rectangle = length x width

12 X 8 = 96 sq. in.

Area of triangle = (1/2)base x altitude = (1/2)(32)(x) = 16x

16x = 96
x = 6 in.