Question

find the area of the shaded region. (assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit. assume ( a = 6 mathrm{ft} ) and ( b = 32 mathrm{ft} ).)

Explanation:

Step1: Recall the formula for the area of a right - triangle

The area formula for a right - triangle is \(A=\frac{1}{2}\times base\times height\). In a right - triangle with legs \(a\) and \(b\), the base and height can be taken as \(a\) and \(b\) respectively.

Step2: Substitute the given values into the formula

Given \(a = 6\) ft and \(b=32\) ft. Substitute into \(A=\frac{1}{2}\times a\times b\). So \(A=\frac{1}{2}\times6\times32\).
First, calculate \(6\times32 = 192\). Then, \(\frac{1}{2}\times192=96\).

Answer:

\(96\)