# 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.

**Q4: **

What is the area of a square of perimeter 36?

- A
- B9
- C18
- D81
- E162

**Q5: **

The side length of a square is 3.9 cm. Find the area of the square.

- A
5.85 cm
^{2} - B
7.8 cm
^{2} - C
30.42 cm
^{2} - D
15.21 cm
^{2} - E
22.815 cm
^{2}

**Q6: **

Nabil has a square tablecloth. One side measures 3 metres. Will it cover his picnic table which has an area of 12 square metres?

- Ano
- Byes

**Q7: **

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 m
^{2} - B
8 m
^{2} - C
80 m
^{2} - D
36 m
^{2}

**Q8: **

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.

**Q9: **

A tumbling mat for a gymnastics routine is a square whose sides are 40 feet long. What is the area of the tumbling mat?

**Q10: **

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 in
^{2} - B
625 in
^{2} - C
35 in
^{2} - D
175 in
^{2} - E
385 in
^{2}

**Q11: **

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

**Q12: **

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?

**Q13: **

What is the area of a square of side 17?

**Q14: **

If the area of a square is 25 square meters, determine, in centimeters, the length of each side.

**Q15: **

If the perimeter of a square is 28 m, what is its area in square meters?

**Q16: **

Determine the perimeter of a square whose area is 841 cm^{2}.

**Q17: **

Determine the formulas for the perimeter, , and area, , of this square.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q18: **

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.

**Q19: **

What is the perimeter of a square with area ?

- A 22
- B
- C
- D
- E

**Q20: **

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
ft
^{2} - B
ft
^{2} - C
ft
^{2} - D
ft
^{2} - E
ft
^{2}

**Q21: **

How much fencing would a gardener need in order to place a fence around a square garden with an area of 324 square feet?

**Q22: **

If the ratio between the perimeters of two squares is , what is the ratio between their areas?

- A
- B
- C
- D
- E

**Q23: **

Find the area of a square whose side length is .

- A
- B
- C
- D

**Q24: **

The square millimetre is the area of a square whose side length is .

- Atwo millimetres
- Bhalf of a millimetre
- Cone square millimetre
- Done millimetre

**Q25: **

Find the perimeter of a square whose area is 64 cm^{2}.