Question

In the figure below P Q R and S are midpoints of the sudes of the square if the square has sides of length 13, what is the area of the shaded region? Number 34. Please help!!

Answer 1

H. 108

Explanation:

Length of the square= 12

S= 1/2 of the length of the square= 6

P=1/2 of the length of the square= 6

Separate the shaded area into two triangles and one square.

Area of a Triangle= 1/2* length* height

Triangles= 2 triangles* 1/2* 6* 6= 36

Line QR= 6*2+ 6*2= c^2 (Pythagorean theorem)

36+ 36= c^2

c=
`√(72)`

Area of the square= 
`√(72)`*
`√(72)`= 72

1 square+ 2 triangles= 72+ 36= 108