Question

The figure shows the dimensions of a metal sign. The shaded part of the sign is painted blue.

Answer 1

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

we have here 2 triangles : the larger, outer shaded one, and the smaller, inner white one.

to get the area of the shaded part, we need to calculate the area of the large triangle and subtract the area of the smaller triangle.

large area :

12 × 15 / 2 = 6 × 15 = 90 ft²

small area :

8 × 10 / 2 = 4 × 10 = 40 ft²

the shaded area is

90 - 40 = 50 ft²