Chapter 11.6, Problem 43STP

To determine

To calculate: The amount of carpet needed for the trapezoidal room.

Answer to Problem 43STP

The amount of carpet needed = 487.5 $f{t}^2$

Explanation of Solution

Given information: In the given trapezoidal room, two parallel bases given a = 25 ft and

b=40 ft, height(h) = 15 ft.

Formula used: Area of trapezoid = $\frac{1}{2}(a+b)\times h$

Calculation:

Area of trapezoid

  $\begin{array}{l}\frac{1}{2}(a+b)\times h\\ =\frac{1}{2}(25+40)\times 15\\ =\frac{1}{2}\times 65\times 15\\ =\frac{1}{2}\times 975\\ =487.5\end{array}$

$\therefore$ The area of the trapezoid $=487.5$ $f{t}^2$

So, the amount of carpet needed = 487.5 $f{t}^2$

Option B is correct.