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
10 centimeters
8 centimeters
13 centimeters
12 centimeters
To find the height of the rectangle, we need to find the dimensions of both the rectangle and the triangle.
Given that the base of the rectangle is 6 centimeters and the area is 78 square centimeters, we can set up the equation:
6 * h = 78
Solving for h, we divide both sides of the equation by 6:
h = 78/6
h = 13 centimeters
Therefore, the height of the rectangle is 13 centimeters.