7th math - Area of Composite Figures

A bedroom wall is to be painted around a window as shown below. A rectangle with length 11 feet and width 10 feet. A smaller rectangle with length 3 feet and width 2 feet is cut out of the larger rectangle. What is the area of the wall that will be painted?

104ft^2

A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. A rectangle with length of 16 feet and width of 14 feet. A circle with radius 3 feet is cut out of the rectangle. What is the area of the Japanese garden around the koi pond? Use 3.14 for Pi.

195.74 feet squared

What is the area of this composite figure? A figure is comprised of 1 rectangle and 2 triangles. The rectangle has a length of 16 centimeters and width of 10 centimeters. Both triangles have a base of 16 centimeters and height of 6 centimeters.

256cm^2

What is the area of the shaded part of the circle that has a diameter of 8 mm? Use 3.14 for Pi. A circle with diameter 8 millimeters. A triangle with base 8 millimeters and height 4 millimeters is cut out of the circle.

34.24 mm ^2

This composite figure has been divided into three rectangles. 3 rectangles stacked together. The height of all three rectangles together is 10 inches. The top rectangle is 4 inches high and 8 inches wide. The bottom rectangle is 1.5 inches high and half of the width is 4 inches. What is the area of this composite figure?

62 in ^2

A composite figure is divided into two congruent trapezoids, each with a height of 4 cm. 2 trapezoids. Both trapezoids have base lengths of 10 centimeters and 6 centimeters, and a height of 4 centimeters. Trapezoid area: A = one-half (b 1 + b 2) h What is the area of this composite figure?

64cm^2

Carlos is building three gardens, each the same size, in his backyard. Each garden is in the shape of a square with a 3-foot by 3-foot section removed from each of the four corners. One garden is shown below. A square with sides lengths of 16 feet. 3 by 3 feet squares are cut out of each corner of the larger square. What is the total area of all three gardens?

660ft^2

This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet. A rectangle with length 10 feet and width 6 feet. A semicircle with diameter 6 feet is on one side of the rectangle. What is the approximate area of this composite figure? Use 3.14 for Pi and round to the nearest whole number.

74ft^2

A circle has a diameter of 12 inches. A circle with a diameter of 12 inches. A triangle with base 12 inches and height 6 inches is cut out of the circle. What is the area of the shaded sections? Use 3.14 for Pi and round to the nearest hundredth.

77.04

Four congruent circular holes with a diameter of 2 in. were punched out of a rectangular piece of paper. A rectangle with length 11 inches and width 8.5 inches. 4 circular holes with a diameter of 2 inches are cut out of the rectangle. What is the area of the paper that is left? Use 3.14 for Pi.

80.94 in ^2

A composite figure has three congruent triangles removed from it. A square and a rectangle. The square is 8 feet by 8 feet, and the rectangle is 16 feet by 8 feet. 3 triangles are cut out of the figure. The triangles have a base of 8 feet and height of 8 feet. What is the area of the shaded region?

96 ft^2

What method can you use to find the area of the composite figure? Select three options. A large rectangle. A smaller rectangle is connected on the right side. A. Decompose the figure into two rectangles and add the areas. B. Decompose the figure into three rectangles and add the areas. C. Extend the top and rightmost sides to make a larger rectangle, find its area, and then subtract the area of the removed corner. D. Decompose the figure into two rectangles, find their sum, and then add the area of the removed corner. E. Decompose the figure into two rectangles, find their sum, and then subtract the area of the removed corner.

NOT - A B D NOT - B C E

Which shapes can the shaded area be divided into to find the area? A figure is comprised of a rectangle and 1 triangle.

a rectangle and a triangle

Which shapes can the composite figure be divided into to find the area? A figure is comprised of a rectangle and 2 triangles.

a rectangle and two triangles