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

8 centimeters

12 centimeters

13 centimeters

Answer 1

Rectangle area + triangle area = 78. Triangle area = 1/2·6·6 = 18, so rectangle area = 78 − 18 = 60. With base 6, height = 60/6 = 10 cm.

Answer: 10 centimeters.