Question

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)

10 centimeters

12 centimeters

8 centimeters

13 centimeters
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Answer 1

Rectangle area = base * height = 6h. Triangle area = 1/2 * base * height = 1/2 * 6 * 6 = 18. Total area 6h + 18 = 78, so 6h = 60 and h = 10.

Answer: 10 centimeters.