Worksheet: Area of Squares and Rectangles

In this worksheet, we will practice writing a formula for the area of a rectangle using its base and height and using it to calculate the areas of squares and rectangles.

Q1:

Find the area of the square.

Q2:

Find the area of a rectangle whose length is 12 cm and width is 4 cm.

Q3:

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

Q4:

How many different rectangles could you make with these 10 square unit tiles?

Make sure that your rectangles use all the squares with no gaps and no overlaps.

Q5:

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?

Q6:

A rectangle has an area of 12 square units. The length measures 4. What is the width of the rectangle?

Q7:

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

  • Ahalf of a MillimeterUnit
  • Bone square MillimeterUnit
  • Ctwo MillimeterUnits
  • Done MillimeterUnit

Q8:

The length of a rectangle is 9 cm and the width is 8 cm. What is the area of the rectangle?

Q9:

A rectangle has dimensions of 19 cm and 6 cm, and a square has a side length of 10 cm. Which of the following statements is correct?

  • AThe sum of both areas is twice their difference.
  • BThe area of the rectangle is equal to the area of the square.
  • CThe area of the rectangle is half the area of the square.
  • DThe area of the rectangle is larger than the area of the square.

Q10:

Work out the area of the rectangle.

Q11:

The length of a rectangle is 7 cm and its area is 42 cm2. What is the width of the rectangle?

Q12:

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

  • A𝑃=2𝑠, 𝐴=4+𝑠
  • B𝑃=𝑠, 𝐴=2𝑠
  • C𝑃=4𝑠, 𝐴=𝑠
  • D𝑃=4+𝑠, 𝐴=𝑠
  • E𝑃=𝑠, 𝐴=4𝑠

Q13:

Look at rectangles A and B.

The area of Rectangle A is 32 in2. Mason says that the area of Rectangle B must be different because their perimeters are different. Find the area of Rectangle B to check if Mason is correct.

Q14:

Find the length of a rectangle with width 6 cm and an area of 66 cm2.

Q15:

Find the width of a rectangle whose area is 592 cm2 and length is 37 cm.

Q16:

What is the difference in area between a square of side 6 and a rectangle that is 1 by 6?

Q17:

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

Q18:

Calculate, in square centimeters, the area of a rectangle whose dimensions are 7 cm and 9 dm.

Q19:

A rectangular bedroom is 4 meters long and 3 meters wide. Find its area.

Q20:

Choose the rectangle whose area is 12 square units.

  • A
  • B
  • C
  • D

Q21:

Daniel starts coloring in a rectangle with an area of 28 square inches.

How many more squares must he color to complete it?

If Daniel did not color any more squares, what would the area of his rectangle be?

Q22:

A newly-wed couple bought a rug for their new bedroom. If the rug is 4 feet wide and 8 feet long, determine its area.

Q23:

What is the area of a square of perimeter 36?

Q24:

The rectangle has an area of 28 square units. One side measures 7 units.

Find the missing side length.

  • A14 units
  • B4 units
  • C21 units
  • D5 units
  • E3 units

Q25:

Calculate the area of the shape.

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