4 cm

6 cm
9 cm
5 cm
trapezoid with 5 90 degree angles
What is the area of the quadrilateral?

1 answer

To find the area of the trapezoid, we can split it into two separate shapes: a rectangle and a right triangle.

First, let's find the area of the rectangle:
Length = 9 cm
Width = 4 cm

Area of rectangle = Length x Width
Area of rectangle = 9 cm x 4 cm
Area of rectangle = 36 cm^2

Next, let's find the area of the right triangle:
Base = 9 cm
Height = 6 cm

Area of triangle = 0.5 x Base x Height
Area of triangle = 0.5 x 9 cm x 6 cm
Area of triangle = 27 cm^2

Now, add the areas of the rectangle and the triangle to find the total area of the trapezoid:
Total area = Area of rectangle + Area of triangle
Total area = 36 cm^2 + 27 cm^2
Total area = 63 cm^2

Therefore, the area of the quadrilateral (trapezoid with 5 90 degree angles) is 63 cm^2.