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Jim created this stained glass window. Find the area of the window. Use 3.14 for [tex] \pi [/tex].

- The area of the window is [tex] \text{in}^2 [/tex]. (Round to the nearest tenth as needed.)
- Measurements provided: 7 in., 26 in., 2 in., 2 in.
- Note: This figure is not to scale.

Answer :

The area of the stained glass window is 156.56 in².

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

To determine the area of the stained glass window, we can first calculate the area of the rectangle by multiplying its length and width, which is 16 in × 9 in = 144 in².

Next, we need to find the area of each semicircle. The diameter of each semicircle is 4 in, so the radius is 2 in. The area of a circle is given by the formula 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.

To get the total area of the stained glass window, we add the area of the rectangle and the area of the semicircles, giving us a total of 144 in² + 12.56 in² = 156.56 in².

Therefore, the area of the stained glass window is 156.56 in².

Learn more about rectangular by following the link below.

brainly.com/question/25292087

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