Question

Does anyone know the area and perimeter of the figure?

Answer 1

Area: 776.7 ft²

Perimeter: 55.1 ft

Explanation:

The figure is composed of two semi-circles and a rectangle, solve for the area of each figure:

Two semi-circles (which is one circle because they have the same diameter):

`A_1=\pi r^2\\A_1=\pi 7.5^2\\A_1=176.714586764...`

The rectangle:

`A_2=bh\\A_2=4*15\\A_2=60`

Add them up to get:

`A=176.714586764...+600\\A=776.714586764...`

Rounding gives 776.7

Now, the perimeter.

Solve for the circumference of the circle and add only the bases of the rectangle:

`C=d\pi \\C=15\pi\\C=47.1238898038...`

And add the two bases:

`P=47.1238898038...+2b\\P=47.1238898038...+2(4)\\P=47.1238898038...+8\\P=55.1238898038...`

Rounding gives 55.1

And don't forget to put the units.