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:
117
Step-by-step 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