Worksheet: Applications of Area of a Square
In this worksheet, we will practice using the side × side formula to find the area of some square real-life objects, such as tiles, carpets, rooms, etc.
What is the area of a square of perimeter 36?
The side length of a square is 3.9 cm. Find the area of the square.
- A 5.85 cm2
- B 7.8 cm2
- C 30.42 cm2
- D 15.21 cm2
- E 22.815 cm2
Nabil has a square tablecloth. One side measures 3 metres. Will it cover his picnic table which has an area of 12 square metres?
A square carpet with length 8 m is placed in a square hall with length 10 m. Find the area of the floor not covered by the carpet.
- A 4 m2
- B 8 m2
- C 80 m2
- D 36 m2
The courtyard of a castle is in the shape of a square. Given that one side of the courtyard is 41 feet, determine its area in square feet.
A tumbling mat for a gymnastics routine is a square whose sides are 40 feet long. What is the area of the tumbling mat?
A landlord wants to replace the old flooring in one of his flats with parquet tiles. He can choose between 20-inch square tiles and 15-inch square tiles. Find the difference between the areas of the two tiles.
- A 5 in2
- B 625 in2
- C 35 in2
- D 175 in2
- E 385 in2
The largest ring in amateur boxing is a square with an area of 400 square feet. What are the dimensions of the ring?
- A 12 ft by 12 ft
- B 40 ft by 40 ft
- C 200 ft by 200 ft
- D 20 ft by 20 ft
- E 15 ft by 15 ft
Elizabeth wants to tile the floor of her square kitchen with square tiles that have length 20 cm. If the length of her kitchen is 7 m, how many tiles does she need?
What is the area of a square of side 17?
If the area of a square is 25 square meters, determine, in centimeters, the length of each side.
If the perimeter of a square is 28 m, what is its area in square meters?
Determine the perimeter of a square whose area is 841 cm2.
Determine the formulas for the perimeter, , and area, , of this square.
- A ,
- B ,
- C ,
- D ,
- E ,
When the perimeter of a square is doubled, which expression explains what happens to its area?
- AThe area is halved.
- BThe area is also doubled.
- CThe area is quartered.
- DThe area is quadrupled.
What is the perimeter of a square with area ?
- A 22
A farmer has feet of fencing and wants to build a square pen for his chickens. What is the area of the largest pen he can build?
- A ft2
- B ft2
- C ft2
- D ft2
- E ft2
How much fencing would a gardener need in order to place a fence around a square garden with an area of 324 square feet?
If the ratio between the perimeters of two squares is , what is the ratio between their areas?
Find the area of a square whose side length is .
The square millimetre is the area of a square whose side length is .
- Atwo millimetres
- Bhalf of a millimetre
- Cone square millimetre
- Done millimetre
Find the perimeter of a square whose area is 64 cm2.