Question

Calculate the area of this figure. Round your answer to the nearest tenth. I am confused on how to get the answer

Answer 1

As given by the question

There are given that the rectangle.

Now,

First, find the missing side of the triangle:

So,

From the given right angle triangle:;

`\begin{gathered} x^2+6^2=10^2 \\ x^2+36=100 \\ x^2=100-36 \\ x=\sqrt[\square]{64} \\ x=8 \end{gathered}`

Now,

The area of the given rectangle is:

`\begin{gathered} A=\text{length}* height \\ A=10*8 \\ A=80ft^2 \end{gathered}`

Hence, the area of the given figure is 80 ft^2.