Question

1. the expression \\(\frac{1}{2}a(b + c)\\) can be used to find the area of the trapezoid. what is the area of the trapezoid when \\(a = 4\\), \\(b = 8\\), and \\(c = 3\\)? (example 4) there is an image of a trapezoid with top base labeled \\(b\\) ft, height labeled \\(a\\) ft, and bottom base labeled \\(c\\) ft

Explanation:

Step1: Substitute the values into the formula

We are given the formula for the area of a trapezoid \( A=\frac{1}{2}a(b + c) \), and we know that \( a = 4 \), \( b = 8 \), and \( c = 3 \). Substitute these values into the formula:
\( A=\frac{1}{2}\times4\times(8 + 3) \)

Step2: Simplify the expression inside the parentheses

First, calculate the sum inside the parentheses: \( 8+3 = 11 \)
Now the expression becomes: \( A=\frac{1}{2}\times4\times11 \)

Step3: Multiply the numbers step by step

First, multiply \( \frac{1}{2} \) and \( 4 \): \( \frac{1}{2}\times4=2 \)
Then, multiply the result by \( 11 \): \( 2\times11 = 22 \)

Answer:

The area of the trapezoid is \( 22 \) square feet.