Question

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An illustration shows a rectangle stacked on top of a triangle such that the bottom side of the rectangle and the base of the triangle are the same. The dimensions are as follows: the top side is 12 meters, the right side is 10 meters, and the perpendicular height of the triangle from the apex to the center of the base is

The composite figure has an area of 156 square meters. What is the height of the triangle?

(1 point)
Responses

7 meters
7 meters

6 meters
6 meters

3 meters
3 meters

8 meters
8 meters
Remaining Attempts : 3
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Answer 1

Rectangle area = 12 × 10 = 120.
Triangle area = 1/2 × base × height = 1/2 × 12 × h = 6h.
Total area 120 + 6h = 156 → 6h = 36 → h = 6 meters.