Question

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A composite of two rectangles. The top rectangle is a smaller rectangle and is centered on the top width of the bottom larger rectangle.
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The top rectangle has a label of 4 meters on the top side, and 3 meters on the left side. The top two angles of the top rectangle have right angle marks. The bottom rectangle has a label of 8 meters on the bottom side, and 2 meters on the top right side. All 4 angles of the bottom rectangle have right angle marks.

The area of the composite figure is 52 square meters. What is the value in meters of the height of the larger rectangle?

(1 point)
Remaining Attempts : 3
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Answer 1

Let H be the height of the larger rectangle.

Area = area of large rectangle + area of small rectangle
52 = 8·H + 4·3 = 8H + 12
8H = 40
H = 5

The height of the larger rectangle is 5 meters.