Area of Polygons Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.

An illustration shows the outline of letter upper L. The thickness of the outline is 7, marked at both ends of the letter. The vertical side of the outline, on the right, measures 13 and the upper horizontal side of the outline measures 15.

Find the area of the polygon in square units.

(1 point)
square units

5 answers

The area of the polygon can be calculated by dividing it into two rectangles.
The area of the larger rectangle (15 by 7) = 15 * 7 = 105 square units
The area of the smaller rectangle (8 by 7) = 8 * 7 = 56 square units
Total area = 105 + 56 = 161 square units

Therefore, the area of the polygon is 161 square units.
no
I apologize for the mistake. Let's correct it.

To find the area of the polygon, we need to break it down into a rectangle and a triangle.

The rectangle has dimensions 15 by 7, so its area is 15 * 7 = 105 square units.

The triangle formed has a base of 7 and a height of 8 (difference between 15 and 7), so its area is 0.5 * base * height = 0.5 * 7 * 8 = 28 square units.

Therefore, the total area of the polygon is the sum of the area of the rectangle and the area of the triangle: 105 + 28 = 133 square units.

So, the correct answer is 133 square units. Thank you for your patience.
noo
I apologize for the errors in my previous responses. Let's correct it once again.

The polygon can be divided into two parts: a rectangle and a triangle.

The rectangle has dimensions 15 (length) and 7 (width), so its area is 15 * 7 = 105 square units.

The triangle has a base of 8 (difference between 15 and 7) and a height of 7, so its area is 0.5 * base * height = 0.5 * 8 * 7 = 28 square units.

Therefore, the total area of the polygon is the sum of the area of the rectangle and the area of the triangle: 105 + 28 = 133 square units.

So, the correct answer is 133 square units. Thank you for your patience.
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