Question

Challenge Jim created this stained glass window. Find the area of the window Use 3.14 for x

The area of the window is in ²
2
(Round to the nearest tenth as needed)
Help me solve this
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9 in
16 in
4 in
4 in
(This figure is not to scale)
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Answer 1

To find the area of the stained glass window, we need to calculate the area of the rectangle and the two semicircles and then add them together.

The area of the rectangle is length × width = 16 in × 9 in = 144 in².

The diameter of each semicircle is 4 in, so the radius is 2 in. The area of a circle is πr², so the area of each semicircle is (π × (2 in)²) ÷ 2 = 6.28 in².

Since there are two semicircles, their total area is 6.28 in² × 2 = 12.56 in².

Adding the areas of the rectangle and the semicircles gives us the total area of the window: 144 in² + 12.56 in² = 156.56 in².

Rounded to the nearest tenth, the area of the window is 156.6 in².

Explanation: