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Worksheet: Area of a Rectangle and Its Application

Q1:

Find the width of a rectangle whose area is 104 cm2 and length is 13 cm.

Q2:

Find the area of rectangle 𝐴 𝐡 𝐢 𝐷 .

Q3:

The outdoor Olympic swimming pool in Volos, Greece, is 50 metres long and 25 metres wide. What is the area of the pool?

Q4:

A rectangle has an area of 6.95 cm2 and a width of 1.75 cm. What is the length of the rectangle? Give your answer correct to the nearest hundredth.

Q5:

Complete using less than, equal to, or greater than:

The area of a square with a length of 14 cm is the area of a rectangle with dimensions 12 cm and 15 cm.

  • Aequal to
  • Bless than
  • Cgreater than

Q6:

Find the area of a rectangle with a length of 10 cm and a perimeter of 28 cm.

Q7:

The area of a square is equal to the area of a rectangle whose dimensions are 18 cm by 8 cm. Calculate the side length of the square.

Q8:

A man bought a square-shaped piece of land with perimeter 168 m. If he builds a house on the land that measures 46 m by 38 m, how much area is left for the garden?

Q9:

Regulation volleyball courts are 18 metres long and 9 metres wide. Additionally, a free zone extends from two of the sides as shown in the figure. Given that the width of each free zone is 3 metres, find the combined area of the volleyball court and the free zones.

Q10:

Mrs. Adam wants to renew the flooring in her living room that is 13 by 18 feet. What is the area of her living room?

Q11:

Which of the following represents the dimensions of two different rectangles that have the same area?

  • A 11 ft by 18 ft and 12 ft by 15 ft
  • B 10 ft by 18 ft and 13 ft by 15 ft
  • C 11 ft by 19 ft and 13 ft by 16 ft
  • D 10 ft by 18 ft and 12 ft by 15 ft
  • E 10 ft by 19 ft and 12 ft by 16 ft

Q12:

The area of Nada’s room is 432 square feet. If the room is 24 feet long, find its width.

Q13:

A high school basketball court is a rectangle measuring 84 feet by 50 feet.

What is the area of a high school basketball court?

Q14:

Milos has a backyard with two separate green areas as shown in the figure. If each green area is a square with a side length of π‘₯ ft, determine an expression to represent the area of the space around the two green areas.

  • A ( 6 6 βˆ’ π‘₯ ) ft2
  • B ο€Ή 6 6 βˆ’ π‘₯  2 ft2
  • C ( 6 6 + π‘₯ ) ft2
  • D ο€Ή 6 6 βˆ’ 2 π‘₯  2 ft2
  • E ο€Ή 6 6 + 2 π‘₯  2 ft2

Q15:

If a square and a rectangle have the same perimeter, and the rectangle measures 4 cm by 14 cm, what is the area of the square?

  • A 36 cm2
  • B 56 cm2
  • C 144 cm2
  • D 81 cm2

Q16:

Rectangular tiles measure 30 cm by 20 cm. How many tiles are needed to cover a square floor with length 60 m?

Q17:

Find the area of the given figure to the nearest tenth.

Q18:

Calculate the area of a rectangle with a perimeter equal to 94 cm and one side of length 37 cm.

Q19:

The sum of the perimeters of a rectangle and a square is 138 cm. The width of the rectangle and the length of the square both equal 16 cm. Find the perimeter and the area of the rectangle.

  • APerimeter: 122 cm. Area: 441 cm2.
  • BPerimeter: 64 cm. Area: 256 cm2.
  • CPerimeter: 106 cm. Area: 296 cm2.
  • DPerimeter: 74 cm. Area: 336 cm2.

Q20:

Nabil wants to tile the floor of a rectangular room measuring 1 m by 8 m. If the tiles are square, with length 20 cm, how many will he need?

Q21:

Given that the area of a rectangle is 1 680 cm2, and its width is 24 cm, find the length of its diagonal.

Q22:

Find the area of the rectangle giving the answer to the nearest square centimetre.

Q23:

If the width of a rectangle is half its length, and the rectangle’s area is 963 square meters, determine its perimeter to the nearest tenth.

Q24:

Calculate the area of a rectangle whose perimeter is 36 cm and width is 5 cm.

Q25:

The area of a rectangle is 234 cm2, and its width is 13 cm. Calculate its length, and its perimeter.

  • A Length: 26 cm. Perimeter: 39 cm.
  • B Length: 26 cm. Perimeter: 78 cm.
  • C Length: 26 cm. Perimeter: 338 cm.
  • D Length: 18 cm. Perimeter: 62 cm.
  • E Length: 18 cm. Perimeter: 31 cm.