Question

Carolyn is making a quilt using quilt blocks like the one shown below. All the shaded squares are the same size and all the shaded triangles are the same size. what is the ratio of the area of the shaded pieces to the area of the white pieces?

Answer 1

117

Explanation:

Side of shaded square = 3 in

Area of shaded square = side * side = 3 * 3 = 9 square inches

5 shaded square so we multiply the area by 5

Total area of shaded square = 9 * 5 = 45 square inches

Next the area of shaded triangle

Base of shaded triangle = 6 in

Height of shaded triangle = 6 in

Area of shaded triangle = 1/2 x base x height = 1/2 x 6 x 6 = 18

4 shaded triangles so we multiply the area by 4

Total area of shaded triangle = 18 * 4= 72 square inches

Area of shaded triangle + area of shaded square

Total area = 45 + 72 = 117 square inches