Real World Use
If I needed to build a fence, I would need to measure...
the perimeter.
What does perimeter measure?
The distance around a shape.
What does area measure?
The amount of space inside of a shape.
What is the area of a rectangle that has a length of 5 ft. and a width of 6 ft.?
30 sq. ft.
Can a shape have the same area and perimeter? Explain; prove your answer with an example.
Yes, a square with 4 inch sides will have an area of 16 square inches and a perimeter of 16 inches.
A rectangular envelope has a perimeter of 16 inches and an area of 15 square inches. What are the side lengths?
3 inches by 5 inches. 3 x 5 = 15 square inches and 5 + 3 + 5 + 3 = 16 inches.
40 centimeters.
A square has an area of 25 square feet. What is the measurement of each side?
5 feet.
Mrs. Tuberville needs a new rug for her laundry room. Her laundry room has an area of 32 square feet. What are most likely the side lengths of the rug that would be the best fit?
8 feet by 4 feet. The other options are 1 foot by 32 feet, or 2 feet by 16 feet. Both of those would be weird shapes for a room.
Two squares are stuck together to form a rectangle. The rectangle has a perimeter of 48 inches. What is the perimeter of one of the squares?
The perimeter of one of the squares is 32 inches.
A book has a length of 5 inches and a width of 4 inches. What is the area and perimeter of the book?
The area is 20 inches, the perimeter is 18 inches.
Luis makes a miniature stop sign, a regular octagon, for a school project. The stop sign has a perimeter of 48 centimeters. What is the length of each side of the stop sign?
6 centimeters.
A rectangle has an area of 72 square inches and one side length of 9 inches. What is the other side length?
8 inches.
The perimeter of a rectangular bathroom is 36 feet. One side length is 9 feet, what is the other side length?
4 feet.
Jimena makes a 6 foot by 8 foot rectangular flag. She puts ribbon around the outside edges. The ribbon costs $2 per foot. What is the total cost of the ribbon?
The total cost of the ribbon would be $56.
The area of Jimena's rectangular painting is 42 inches. One side is 7 inches long, what is the other side length?
The other side length is 6 inches long.
A rectangle has an area of 56 inches. One side length is 7 inches. What is the perimeter of the rectangle?
30 inches.
The perimeter of a square is 80 feet. What is the area of the square?
400 feet.
Angela bends wire to make rectangles. Each rectangle measures 34 inches by 12 inches. What is the total length of wire needed to make 2 rectangles?
184 inches.
Marco buys a roll of wire fence that is 120 meters long to fence in his garden. His garden is 18 meters by 24 meters. Will Marco have enough fence left over to build a 6 meter by 8 meter rectangular play space for his pet rabbit?
Yes, Marco will have enough fence left over. He will have 36 meters left over from his garden and will only need 28 meters to build his pet rabbit a play space.
There is only one faucet on the outside of Mr. Musser's square house. The perimeter of his house is 100 meters. He needs to be able to water the bushes all the way around his house. What is the smallest hose length that he should buy in order to reach all his plants?
He should buy a hose that is 50 feet long. He can go around half of the house and then back around the other half.
What is the perimeter of 2 rectangular bricks stacked on top of each other? The bricks have a side length of 3 inches by 8 inches. (hint: there are 2 different ways that you can stack them! Be sure to find the area and perimeter for both!)
Hotdog: P = 38 inches; A= 48 square inches
Hamburger: P = 12 inches; A = 48 square inches
What are the possible side lengths of a rectangle that has an area of 45 inches? How many different rectangles can you make? (hint: commutative property does not count)
1 x 45, 3 x 15, 5 x 9; you can make 3 different rectangles.
Dylan makes 4 squares, each with a side length of 7 centimeters. He arranges all 4 squares to make an even bigger square. What is the area and perimeter of his new big square?
Perimeter = 56 cm.
Area = 196 square sm.
A sheet of plywood was cut into thirds. Each third has a length of 6 feet and a width of 4 feet. What is the perimeter of the original piece of wood?
The original piece of plywood had a perimeter of 36 feet.