Question

Carolyn is making a quilt using blocks like the one shown below. All the shaded squares are the same size and all th shaded triangles are the same size. What is the total area of all the shaded pieces of the quilt block?

Answer 1

what the answer please tell me

Answer 2

The figure is attached below.

All the shaded squares are the same size and all th shaded triangles are the same size.

First we find the Area of shaded square

Side of shaded square = 3 in

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

There are 5 shaded square so we multiply the area by 5

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

Next First we find the Area of shaded triangle

Base of shaded triangle = 6 in

Height of shaded triangle = 6 in

Area of shaded triangle =
`(1)/(2) * base * height = (1)/(2) * 6 * 6 = 18` square inches

There are 4 shaded triangles so we multiply the area by 4

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

total area of all the shaded pieces of the quilt block = area of shaded triangle + area of shaded square

Total area = 45 + 72 = 117 square inches