The value of x in the composite figure below is 22 ft
What is area ?
Area is the space occupied by a 2 dimensional figure. Therefore,
The composite figure can be divide into a triangle and a rectangle.
Area = area of triangle + area of rectangle
Therefore,
area of triangle = 1 / 2 bh
where
b = base = 40 - 25 = 15 ft
h = height = (34 - x) ft
Therefore,
area of triangle = 1 / 2 × 15 × (34 - x) = 7.5(34 - x)
are of rectangle = 40 × x = 40x
Therefore,
area = 7.5(34 - x) + 40x
970 = 255 - 7.5x + 40x
970 - 255 = 32.5x
x = 715 / 32.5
x = 22 ft
learn more on area here: https://brainly.com/question/26114849
