Area of Composite Figures Quick Check

3 of 53 of 5 Items

Question
Use the image to answer the question.

A composite shape is drawn with a rectangle and a square. All lines are straight and all corners are marked as right angles. The shape is made with a vertically aligned rectangle 8 yards in length and 7 yards in width. A horizontally aligned rectangle 3 yards wide and of unknown length is removed from the bottom left corner of the original rectangle. The remaining width along the bottom right is 3 yards.

Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?

(1 point)
Responses

65 square yards
65 square yards

44 square yards
44 square yards

56 square yards
56 square yards

30 square yards

Solve the following problem using what you know about composite figures. What is the area of the figure?

36 square units

The composite shape in the image has an area of 40 square inches. What is the area of the rectangle within the composite shape?

28 square inches

Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?

44 square yards

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?

10 centimeters

Rebekah designs a playing field for a new sport. The playing field is pictured. What is the area of the playing field?

56 square meters

65 square yards