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

1 answer

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.