Question

The trapezoid is composed of a rectangle and two triangles. What is the area of the rectangle? What is the total area of the triangles? What is the area of the trapezoid?

A) 26 cm2; 4 cm2; 30 cm 2
B) 26 cm2; 8 cm2; 34 cm 2
C) 36 cm2; 8 cm2; 44 cm 2
D) 36 cm2; 4 cm2; 40 cm 2

Answer 1

C

Explanation:

:)

Answer 2

C) 36 cm^2; 8 cm^2; 44 cm^2

Explanation:

The area of a rectangle is the product of its length and width. The area of this one is ...

A = L·W = (9 cm)·(4 cm) = 36 cm²

The area of a triangle is half the product of its base and height. There are two identical triangles here, so their combines area is ...

A = 2(1/2)·b·h = (2 cm)(4 cm) = 8 cm²

The area of the trapezoid is the total of the area of the rectangle and that of the two triangles:

A = (36 cm²) + (8 cm²) = 44 cm²