Lin is making a window covering for a window that has the shape of a half circle on top of a square of side length 3 feet. how much fabric does she need

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

where

b is the length side of the square

we have

substitute

step 2

Find the area of semicircle

The area of semicircle is equal to

The length side of the square is equal to the diameter of semicircle

so

----> the radius is half the diameter

assume

substitute

Adds the areas

therefore

Lin needs 12.53 square feet of fabric

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

47 - 90 = 43

43 - 180 = x

x = 137