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Question

An illustration shows an outline of letter upper E with measurements listed for each line segment comprises the letter outline. The letter is comprised of joined rectangular shapes. A vertical rectangular shape in on the left. Three horizontal rectangular shapes are spaced almost equally along the vertical rectangle. The height of the letter is labeled 22. The horizontal length of the top of the letter is labeled 16. The horizontal length of the bottom of the letter is labeled 18. The thickness of each horizontal rectangle is labeled 4. The space between the top horizontal rectangle and the middle one is 5. The space between the middle horizontal rectangle and the bottom one is 5. The bottom edge of the top horizontal shape and the top edge of the bottom horizontal shape are labeled 10. The top and bottom edges of the middle horizontal shape are labeled 10.



What is the area of the polygon? Find the area by composing a rectangle.

(1 point)
Responses

276 square units
276 square units

252 square units
252 square units

212 square units
212 square units

352 square units
352 square units
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Answer 1

To find the area of the polygon, we can compose a rectangle by adding two smaller rectangles together.

The first rectangle is formed by the vertical rectangle and the top horizontal rectangle. The dimensions of this rectangle are 16 (length) by 22 (height). So the area of this rectangle is 16 * 22 = 352 square units.

The second rectangle is formed by the vertical rectangle and the bottom horizontal rectangle. The dimensions of this rectangle are 18 (length) by 22 (height). So the area of this rectangle is 18 * 22 = 396 square units.

Therefore, the total area of the polygon is 352 + 396 = 748 square units.