The figure shown consists of a rectangle and quarter circle. 7.5 ft 5.5 ft What is the approximate area of the figure? Use the ri button on your calculator and round to the nearest hundredth. Include the appropriate unit in your answer ​

 65.01 square feet (approximate)

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Explanation:

The area of the rectangle is base*height = 7.5*5.5 = 41.25 square feet.

The quarter circle has the radius of 5.5 ft.

Consider a full circle with this same radius. The full circle would have area of

A = pi*r^2 = pi*(5.5)^2 = 30.25pi = 95.0331777710912

This value is approximate. The units are in square feet.

We don't want the full circle's area, but instead just a quarter of that. So we'll multiply by 1/4 = 0.25 to get

0.25*95.0331777710912 = 23.7582944427728

The area of the quarter circle is roughly 23.7582944427728 square feet.

The last step is to add the rectangle and quarter circle areas to get

41.25+23.7582944427728 = 65.0082944427728

This rounds to 65.01 when rounding to the nearest hundredth.

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If we wanted to do this in all one step, we could say

5.5*7.5 + 0.25*pi*(5.5)^2 = 65.0082944427729

which rounds to 65.01

The units of the answer are in square feet, in which we could write ft^2 or as shorthand.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right