divide the shape into 2 triangles and 1 rectangle
left triangle :
hypotenuse = 7 in
height = 6 in
base = x
find the base using pythagoras theorem
x = √( 7² - 6² )
x = √13
x = 3.6 in
find it's area
6 × 3.6 ÷ 2 = 10.8
right triangle :
hypotenuse = 9 in
height = 6 in
base = x
find the base using pythagoras theorem
x = √( 9² - 6² )
x = √45
x = 6.7 in
find area
9 × 6.7 ÷ 2 = 30.15 in
middle rectangle :
16 in - left tri. base = base
16 - 3.6 = 12.4
find area
6 × 12.4 = 74.4
sum of the area
10.8 + 30.15 + 74.4 = 115.35
