Chapter 10.3, Problem 24E

To determine

To calculate the base.

Answer to Problem 24E

5.6 mm

Explanation of Solution

Given Information: Area of Trapezoid = 16.555 mm², Base1 = 2.1 mm. & Height = 4.3 mm.

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 = 16.555 mm², Base1 = 2.1 mm. & Height = 4.3 mm

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

16.555 mm²= $\frac{1}{2}\times (2.1+x)\times 4.3$ mm²$\frac{16.555\times 2}{4.3}$ = $2.1+x$

  $\frac{33.11}{4.3}-2.1=x$

  $x=7.7-2.1$ mm.

  $x=5.6$ mm.

Hence,

b₂ = 5.6 mm.