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Given the following composite figure, d = 7.5 cm and w = 15.1 cm.

What is the area of the figure?

Given the following composite figure, d = 7.5 cm and w = 15.1 cm. What is the area-example-1
User Vinestro
by
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1 Answer

5 votes

Answer:

157.41

Explanation:

It can be identified that, given the figure, there is a rectangle and 2 semicircles.

Let's find the area of the rectangle first: A=L*w

Plugging in the given values => A=7.5*15.1 which equals 113.25.

Now the area for the semicircles: 1/2(3.14*r^2)

First, we need to find the radius. To find the radius, you just have to divide the diameter by 2. So, 7.5/2=3.75.

We can plug square the radius which is 3.75 and plug it into the formula: 1/2(3.14*3.75^2)=>22.078125.

22.078125 is the area of only one semicircle so we need to multiply it by 2 because we have two semicircles. So, we get 44.15625.

Finally, we can add them all up to find the total area of the figure: 113.25+44.15625=157.40625.

Rounding to the nearest hundredth=>157.41

User Boba Fit
by
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