Question

A pinwheel design for a quilt is shown at the right. Each square of the design has a side length of 3 inches. May someone help me please!

Answer 1

Part A) The area total of the design is
`144\ in^(2)`

Part B) The total area of the four large shaded triangles is
`72\ in^(2)`

Part C) The cost to purchase the material to make the triangles for the quilt will be
`\$172.8`

Explanation:

Part A) Find the area total of the design

The area total of the design is a square

so

To find the length side of the square design multiply the number of squares by 3 in

`a=(4*3)=12\ in`

`A=(a)^(2)`

`A=(12)^(2) =144\ in^(2)`

Part B) Find the total area of the four large shaded triangles

the area of the four large triangles is equal to

`A=4[(1)/(2)(b)(h)]`

we have that

`b=(2*3)=6\ in`

`h=(2*3)=6\ in`

substitute

`A=4[(1)/(2)(6)(6)]=72\ in^(2)`

Part C) How much will it cost to purchase the material to make the triangles for the quilt ?

To find the cost multiply the area of each design of four large triangles by 30 and then multiply by $0.08 per square inch

The cost is equal to

`30(0.08)(72)=\$172.8`