Exercise 24 Page 65

We are given the drawing of a giant triangle made by Lakisha.

The triangle was made using two pattern blocks: one green triangle and one red trapezoid. We want to find the area of the entire shape if the green triangle has an area of 1 square centimeters. Note that the giant triangle can be divide it into 4 identical triangles.

Because the green triangle has an area of 1 square centimeters, the other three identical triangles also has the same area. Then, we can multiply the area of one triangle by 4 to determine the area of the entire shape. 4* 1 cm^2=4 cm^2

We want to find the area of the entire shape if the red trapezoid has an area of 1 square inch. To do so, remember that in Part A we saw that the giant triangle can be divided into four identical triangles.

Note that the trapezoid is formed by 3 identical triangles. Because the area of the trapezoid is 1 inch, the area of each triangle has to be 13 inches. Then, we can find the area of the giant triangle by multiplying the area of one triangle by 4.

The area of the entire shape is 1 13 square inches.