Chapter 10.3, Problem 23E

To determine

To calculate the base.

Answer to Problem 23E

25 ft.

Explanation of Solution

Given Information: Area of Trapezoid = 1800 square feet, Base2 = 50 ft. & Height = 48 ft.

Formula Used:Area of Trapezoid = $\frac{1}{2}\times Sumofparallelbases\times Height$

Calculation:

Area of Trapezoid: $\frac{1}{2}\times Sumofparallelbases\times Height$

Now, Area of Trapezoid = 1800 square feet, Base2 = 50 ft. & Height = 48 ft.

Now, to find other base. Let’s assume other base = x ft.

1800 square feet = $\frac{1}{2}\times (x+50)\times 48$ square feet

  $\frac{1800\times 2}{48}$ = $x+50$

  $\frac{3600}{48}-50=x$

  $x=75-50$ ft.

  $x=25$ ft.

Hence,

b₁ = 25 ft.