Find the area and perimeter of the triangle shown below. Use the rules for working with measurements. A) perimeter = 35.4, area = 44.1 ft ² B) perimeter = 35.4, area = 46.3 ft ² C) perimeter = 36.5, area = 46.3 ft ² D) perimeter = 35.4, area = 48.5 ft ² E) perimeter = 36.5, area = 48.5 ft ²

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Quizplus · Accepted Answer

To find the perimeter, we add the lengths of all sides: 12.5 + 10.2 + 12.7 = 35.4 ft. To find the area, we use the formula A = (1/2)bh, where b is the base and h is the height of the triangle. The height of the triangle is not given, but we can use the length of the perpendicular line segment from point U to side PQ as the height. This line segment divides the triangle into two right triangles, and we can use the Pythagorean theorem to find its length: (10.2/2)^2 + 9^2 = h^2, so h ≈ 11.4 ft. Then, A = (1/2)(12.5)(11.4) ≈ 46.3 ft.

Find the Area and Perimeter of the Triangle Shown Below