Respuesta :

Answer:

Area of the wall without the doorway = 67.5 - 21 = 46.5 [tex]feet^{2}[/tex]

Step-by-step 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 = [tex](\frac{a + b}{2} )\times h[/tex] = [tex](\frac{22 + 23}{2} )\times 3[/tex] = 22.5 [tex]\times[/tex] 3 = 67.5 [tex]feet^{2}[/tex]

v) area of door = 7 [tex]\times[/tex] 3 = 21 [tex]feet^{2}[/tex]

vi) Area of the wall without the doorway = 67.5 - 21 = 46.5 [tex]feet^{2}[/tex]