Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Applications of Area of a Square

Q1:

The side length of each small square in the grid is one unit.

Find the area of the colored shape.

Q2:

The perimeter of a square measures 32 cm. What is its area?

Q3:

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

Q4:

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

Q5:

Find the area of a square whose side length is 1 1 1 π‘Ž .

  • A 1 1 1 π‘Ž 2
  • B 1 1 2 1 π‘Ž
  • C 1 1 2 1
  • D 1 1 2 1 π‘Ž 2

Q6:

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

Q7:

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

  • Atwo millimeters
  • Bhalf of a millimeter
  • Cone square millimeter
  • Done millimeter

Q8:

Determine the perimeter of a square whose area is 841 cm2.

Q9:

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

  • A 𝑃 = 𝑠 4 , 𝐴 = 4 𝑠
  • B 𝑃 = 4 + 𝑠 , 𝐴 = 𝑠 4
  • C 𝑃 = 2 𝑠 , 𝐴 = 4 + 𝑠
  • D 𝑃 = 4 𝑠 , 𝐴 = 𝑠 2
  • E 𝑃 = 𝑠 2 , 𝐴 = 2 𝑠

Q10:

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.

Q11:

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

Q12:

A square carpet with length 5 m is placed in a square hall with length 8 m. Find the area of the floor not covered by the carpet.

  • A 6 m2
  • B 12 m2
  • C 9 m2
  • D 39 m2
  • E 40 m2

Q13:

What is the perimeter of a square with area 1 2 1 4 π‘₯ 2 ?

  • A 22
  • B 1 1 2 π‘₯
  • C 1 1 2
  • D 2 2 π‘₯
  • E 2 2 π‘₯ 2

Q14:

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

Q15:

A farmer has 5 3 1 3 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 2 6 2 3 ft2
  • B 1 3 1 3 ft2
  • C 5 3 1 3 ft2
  • D 1 7 7 7 9 ft2
  • E 5 3 3 1 3 ft2

Q16:

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

  • Ano
  • Byes

Q17:

What is the area of a square of perimeter 36?

  • A 8 1 2
  • B9
  • C18
  • D81
  • E162

Q18:

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

Q19:

Find the perimeter of a square whose area is 64 cm2.

Q20:

What is the area of a square of side 17?

Q21:

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

Q22:

If the ratio between the perimeters of two squares is 2 3 ∢ 1 4 , what is the ratio between their areas?

  • A 1 1 ∢ 7
  • B 2 5 ∢ 1 6
  • C 2 3 ∢ 7
  • D 5 2 9 ∢ 1 9 6
  • E 2 3 ∢ 2 8

Q23:

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.

Q24:

Marcela wants to tile the floor of her square kitchen with square tiles that have length 20 cm. If the length of her kitchen is 20 m, how many tiles does she need?

Q25:

A landlord wants to replace the old flooring in one of his apartments 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.