Answer:
Lin needs 12.53 square feet of fabric
Step-by-step explanation:
we know that
The area of the window covering is equal to the area of the square plus the area of semicircle
step 1
Find the area of the square
The area of the square is equal to
[tex]A_1=b^{2}[/tex]
where
b is the length side of the square
we have
[tex]b=3\ ft[/tex]
substitute
[tex]A_1=3^{2}=9\ ft^2[/tex]
step 2
Find the area of semicircle
The area of semicircle is equal to
[tex]A_2=\frac{1}{2}\pi r^{2}[/tex]
The length side of the square is equal to the diameter of semicircle
so
[tex]r=3/2=1.5\ ft[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A_2=\frac{1}{2}(3.14)(1.5)^{2}[/tex]
[tex]A_2=3.53\ ft^2[/tex]
Adds the areas
[tex]A=A_1+A_2[/tex]
[tex]A=9+3.53=12.53\ ft^2[/tex]
therefore
Lin needs 12.53 square feet of fabric
