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?

Answer 1

triangles: 28 cm^2 rectangle: 70 cm^2 trapezoid: 98cm^2

Explanation:

The formula for the area of a triangle is base x height x 1/2.

Plug in the dimensions; 4 x 7 x 1/2 = 28 x 1/2 = 14 cm ^2 Since there are 2 triangles, you need to multiply the are of the triangle by 2. This becomes a total of 28 cm^2

The formula for the area of a rectangle is length x width.

Plug it in; 7 x 10 = 70 cm^2

To find the trapezoid's area, just add the two areas, giving you 98 cm^

Answer 2

area of rectangle: 70 cm squared

area of one triangle: 14 cm squared

area of both triangles: 28 cm squared

area of trapezoid: 98 cm squared