Practice finding area and perimeter of common and composite shapes using formulas, units, and clear reasoning.
Read each problem carefully. Show your work, include the correct formula when helpful, and write units in every final answer.
Solve real-world problems with rectangles, triangles, parallelograms, trapezoids, and composite figures
Geometry - Grade 6-8
- 1
A rectangle is 12 centimeters long and 7 centimeters wide. Find its area and perimeter.
- 2
A square garden has a side length of 9 feet. Find the area and perimeter of the garden.
- 3
A triangle has a base of 14 inches and a height of 6 inches. Find the area of the triangle.
- 4
A parallelogram has a base of 10 meters and a height of 8 meters. Find its area.
- 5
A trapezoid has bases of 16 centimeters and 10 centimeters. Its height is 5 centimeters. Find the area.
- 6
A rectangular classroom floor is 24 feet long and 18 feet wide. Carpet costs $3 per square foot. How much will it cost to carpet the whole floor?
- 7
A rectangular picture frame measures 20 inches by 15 inches. What is the perimeter of the frame?
- 8
Find the area of an L-shaped figure made from two rectangles. The first rectangle is 8 feet by 4 feet. The second rectangle is 3 feet by 6 feet. The rectangles do not overlap.
- 9
A rectangle has an area of 96 square centimeters and a width of 8 centimeters. What is its length?
- 10
A square has a perimeter of 52 meters. What is the length of one side, and what is the area of the square?
- 11
A triangular flag has side lengths of 9 inches, 12 inches, and 15 inches. What is the perimeter of the flag?
- 12
A park is shaped like a rectangle with a length of 60 yards and a width of 35 yards. A fence will be placed around the park. How many yards of fencing are needed?
- 13
A composite shape is made by placing a rectangle and a triangle together. The rectangle is 10 inches long and 6 inches wide. The triangle has a base of 10 inches and a height of 4 inches. Find the total area.
- 14
A regular hexagon has side lengths of 7 centimeters. What is its perimeter?
- 15
A student says that a rectangle with an area of 48 square units must have a perimeter of 28 units. Give one example that proves the student is not always correct.