Answer:
Part A) The area total of the design is [tex]144\ in^{2}[/tex]
Part B) The total area of the four large shaded triangles is [tex]72\ in^{2}[/tex]
Part C) The cost to purchase the material to make the triangles for the quilt will be [tex]\$172.8[/tex]
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
[tex]a=(4*3)=12\ in[/tex]
[tex]A=(a)^{2}[/tex]
[tex]A=(12)^{2} =144\ in^{2}[/tex]
Part B) Find the total area of the four large shaded triangles
the area of the four large triangles is equal to
[tex]A=4[\frac{1}{2}(b)(h)][/tex]
we have that
[tex]b=(2*3)=6\ in[/tex]
[tex]h=(2*3)=6\ in[/tex]
substitute
[tex]A=4[\frac{1}{2}(6)(6)]=72\ in^{2}[/tex]
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
[tex]30(0.08)(72)=\$172.8[/tex]
