Area of Composite Figures Quick Check 4 of 54 of 5 Items Question Use the image to answer the question. 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 13 centimeters 13 centimeters 8 centimeters 8 centimeters 10 centimeters 10 centimeters 12 centimeters

To find the height of the rectangle, you need to find the area of the triangle and subtract it from the total area of 78 square centimeters.

The rectangle's total area is 6x13 = 78 square centimeters.

The triangle has a base of 6 cm (since the rectangle is 6 cm wide) and a height of (13-8) = 5 cm.

Area of the triangle = 1/2 x base x height = 1/2 x 6 x 5 = 15 square cm.

Subtracting the area of the triangle from the total area:
78 - 15 = 63 square cm.

Since the rectangle's height is 8 cm, the answer is:

8 centimeters.