Question

Find the perimeter and area of the figure, rounding to the nearest tent. Use 3.14 for pie 7 ft 25 ft 4 ft Perimeter = 89.12 feet Area = feet squared

Answer 1

According to the picture, you can find the area of the figure by susbtracting the area of the segments of the circles to the area of the rectangle. We can observe that these segments are a quarter of a circle, together they would be a complete circle, then to find the area of the figure we can substract the area of one of the circles to the area of the rectangle.

1. Find the area of the circle:

`\begin{gathered} A=\pi r^2 \\ A=\pi(4)^2 \\ A=16(3.14) \\ A=50.24 \end{gathered}`

2. Find the area of the rectangle:

To do it, you need to find the length and the width first, do it this way:

`\begin{gathered} l=25+4+4=33 \\ w=7+4+4=15 \end{gathered}`

Now, find the area of the rectangle:

`\begin{gathered} A=l\cdot w \\ A=33\cdot15 \\ A=495 \end{gathered}`

3. Find the area of the figure:

`\begin{gathered} A=495-50.24 \\ A=444.76 \end{gathered}`

The area of the figure is 444.76 feet squared.