Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
13
8

129.1 square units

Step-by-step explanation:

First, let's find the area of the rectangle. We can use the formula below.

where is the length and is the width.

The length of the rectangle is 13 and the width is 8.

Substitute the values into the formula.

Next, let's find the area of the semicircle. We can use the formula below.

First, find the radius. The radius is half of the diameter, and the diameter is 8.

⇒ r= d/2

⇒ r= 8/2

⇒ r= 4

Evaluate the exponent.

⇒ 4² = 4*4 = 16

Multiply pi and 16.

Multiply.

Finally, find the area of the figure.

Add the area of the rectangle (104) and the area of the semicircle (25.1327412)

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 1 in the tenth place.

The area of the figure is about 129.1 (square units).

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step-by-step explanation: