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iogann1982 [59]
2 years ago
8

If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?

Mathematics
1 answer:
Delicious77 [7]2 years ago
6 0

All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then <em><u>add them</u></em>!

____________________________

First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

________________________________

Now, let's do the circle!

Area of a circle = πr² ...      (r = radius)

<u><em>*</em></u> In this diagram, the diameter of the circle is also the same length as "y"!

<u><em>* </em></u>And remember that<em> radius is half of the diameter</em>.

radius = 6

Now, let's actually calculate the area

Area = π(6)² ⇒ 36π

Area = 113.1 (I rounded up the decimals!)

_______________________________________

<u><em>*</em></u>But wait! Look at the figure! It looks like HALF of the circle's area <u>was included when we calculated the area of the rectangle</u>! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the <u>area of the rectangle</u> to the <u>area of the half-circle</u> to find the <u>area of THE ENTIRE FIGURE</u>!

<u>228 + 56.5 = 284.5 </u>

284.5 square feet is our answer!

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