To find the area of the polygon, we need to know the height of the polygon. Given that the side lengths are 5 and 7, we can construct a right triangle with legs of length 5 and 7. Using the Pythagorean theorem, we can find the height of the polygon:
a^2 + b^2 = c^2
5^2 + 7^2 = h^2
25 + 49 = h^2
74 = h^2
h ≈ 8.6
The base of the polygon is 7 units and the height is approximately 8.6 units. Therefore, the area of the polygon is:
Area = (base x height)/2
Area = (7 x 8.6)/2
Area ≈ 30.8 square units
Therefore, the closest answer choice is 76 square units.
What is the area of the polygon? Assume that segments that appear congruent are congruent. The side lengths are 5 and 7.
(1 point)
Multiple choice answers: 190 square units, 140 square units, 76 square units, and 165 square units.
1 answer