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Lesson: Applications of Area of a Square

Sample Question Videos

Worksheet • 25 Questions • 3 Videos

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:

Find the area of the square.

Q4:

What is the area of a square of perimeter 36?

  • A81
  • B162
  • C9
  • D18
  • E 8 1 2

Q5:

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

  • A 15.21 cm2
  • B 22.815 cm2
  • C 7.8 cm2
  • D 30.42 cm2
  • E 5.85 cm2

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?

  • Ayes
  • Bno

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 36 m2
  • B 8 m2
  • C 80 m2
  • D 4 m2

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 175 in2
  • B 385 in2
  • C 625 in2
  • D 35 in2
  • E 5 in2

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 20 ft by 20 ft
  • B 15 ft by 15 ft
  • C 40 ft by 40 ft
  • D 200 ft by 200 ft
  • E 12 ft by 12 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 20 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 cm2.

Q17:

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

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

Q18:

When the perimeter of a square is doubled, which expression explains what happens to its area?

  • AThe area is quadrupled.
  • BThe area is also doubled.
  • CThe area is quartered.
  • DThe area is halved.

Q19:

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

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

Q20:

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

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 2 3 ∢ 1 4 , what is the ratio between their areas?

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

Q23:

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

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

Q24:

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

  • Aone millimetre
  • Bhalf of a millimetre
  • Cone square millimetre
  • Dtwo millimetres

Q25:

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

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