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

140 square units
140 square units

165 square units
165 square units

190 square units
190 square units

76 square units
76 square units
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1 answer

The area of the polygon can be calculated by finding the area of the rectangle formed by two of the legs and then subtracting the area of the triangle formed by the other two legs.

Area of the rectangle = 7 * 5 = 35 square units
Area of the triangle = (1/2) * 7 * 5 = 17.5 square units

Total area = 35 - 17.5 = 17.5 square units

Therefore, the correct answer is 76 square units.