Question
Use the image to answer the question.
An illustration shows the outline of letter X. The length of each of the four legs is 7, and the width of each is 5.
What is the area of the polygon? Assume that segments that appear congruent are congruent.
(1 point)
Responses
190 square units
190 square units
140 square units
140 square units
76 square units
76 square units
165 square units
To calculate the area of the polygon, we need to consider each leg of the letter X. Since the width of each leg is 5 units, the total width of the letter X is 5 units. Since there are 4 legs and the length of each leg is 7 units, the total length of the letter X is 28 units.
To calculate the area of the polygon, we use the formula for the area of a rectangle which is length x width. Therefore, the area of the polygon is:
5 units (width) x 28 units (length) = 140 square units.
So, the correct answer is: 140 square units.