Question

A 7-foot by 3-foot doorway is cut into the 23 by 22 foot trapezoid wall. What is the area of the wall without the door way?

Answer 1

Area of the wall without the doorway = 67.5 - 21 = 46.5
`feet^(2)`

Explanation:

i) let length of smaller side of trapezoidal wall, a = 22 feet

ii) let length of longer side of trapezoidal wall, b = 23 feet

iii) height of trapezoidal wall, h = 3 feet

iv) area of trapezoidal wall =
`((a + b)/(2) )* h` =
`((22 + 23)/(2) )* 3` = 22.5
`*` 3 = 67.5
`feet^(2)`

v) area of door = 7
`*` 3 = 21
`feet^(2)`

vi) Area of the wall without the doorway = 67.5 - 21 = 46.5
`feet^(2)`