Use the image to answer the question.
A composite shape is drawn using a rectangle and a triangle. The rectangle has a base labeled as 6 centimeters. A triangle showing a perpendicular height of 6 centimeters is stacked on the top side of the rectangle. The base of the triangle and the top of the rectangle have a common side. Right angle symbols are shown on all four corners of the rectangle.
John Roy creates this drawing of a composite shape for an art contest. The area of the drawing is 78 square centimeters. What is the height of the rectangle?
(1 point)
Responses
8 centimeters
8 centimeters
12 centimeters
12 centimeters
13 centimeters
13 centimeters
10 centimeters
10 centimeters
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Given that the area of the composite shape is 78 square centimeters, we can find the height of the rectangle by dividing the area by its base.
Area of rectangle = base * height
78 = 6 * height
Height = 78/6
Height = 13 centimeters
Therefore, the height of the rectangle is 13 centimeters.