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

Answer:

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 $\ 172.8$

Step-by-step 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

$A=4[\frac{1}{2}(b)(h)]$

we have that

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

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

substitute

$A=4[\frac{1}{2}(6)(6)]=72\ in^{2}$

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

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