To find the height of the rectangle, we first need to find the area of the rectangle and the area of the triangle, and then add them together.
Area of the rectangle = base x height
Area of the rectangle = 6 cm x height
Area of the triangle = (1/2) x base x height
Area of the triangle = (1/2) x 6 cm x 6 cm
Given that the total area is 78 square centimeters, we can write the equation:
6 x height + (1/2) x 6 x 6 = 78
Solving for height:
6h + 18 = 78
6h = 60
h = 10
Therefore, the height of the rectangle is 10 centimeters.
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?
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1 answer