Question

a trapezoid has 11 miles base and 4.2 miles base, as well as 18.4 miles height. what is the area? square miles

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the bases and $h$ is the height. Here, $b_1 = 11$ miles, $b_2=4.2$ miles, and $h = 18.4$ miles.

Step2: Calculate sum of bases

First, find the sum of the bases: $b_1 + b_2=11 + 4.2=15.2$ miles.

Step3: Calculate area

Then, use the area formula: $A=\frac{(15.2)\times18.4}{2}$. Multiply 15.2 and 18.4: $15.2\times18.4 = 279.68$. Then divide by 2: $A=\frac{279.68}{2}=139.84$ square - miles.

Answer:

139.84