Worksheet on Area of Rectangle

Four corners and parallel sides create familiar rectangular spaces everywhere. Students discover areas of rectangles in a free worksheet PDF that reveals the simple beauty of length multiplied by width through practical exercises. These straightforward activities help learners apply rectangular area calculations to rooms, gardens, and everyday objects. Students can download printable area rectangle practice questions. Each problem builds foundational geometry skills and spatial understanding.

1. If the area of a rectangle is 90 cm² and the width is 5 cm, what is the length?

a) 18 cm
b) 9 cm
c) 15 cm
d) 19 cm

Answer: a)

Explanation: Area of the rectangle = length x width
                                               90  = length x 5
                                         Length = $\frac{\frac{\mathrm{90}}{}}{\frac{5}{}}$
                                                     = 18 cm

2. What is the area of a rectangle with a length of 8 cm and a width of 3 cm?

a) 48 cm²
b) 22 cm²
c) 24 cm²
d) 11 cm²

Answer: c)

Explanation: Area of the rectangle = length x width
                                               90  = length x 5
                                         Length = $\frac{\frac{\mathrm{90}}{}}{\frac{5}{}}$
                                                     = 18 cm

3. A rectangle's length is 5 times its width. If the area is 125 cm², what is the width?

a) 25 cm
b) 20 cm
c) 15 cm
d) 5 cm

Answer: d)

Explanation: Let width = x. Then, length = 5x.
Area of rectangle = Length × Width
125 cm² = 5x × x
125 cm² = 5x²
x² = 25
Width (x) = 5 cm

4. The perimeter of a rectangle is 40 cm and the length is 12 cm. What is the area?

a) 96 cm²
b) 108 cm²
c) 40 cm²
d) 320 cm²

Answer: a)

Explanation: Perimeter = 2 (length + Width)
40 cm = 2 (12 cm + Width)
20 cm = 12 cm + Width
Width = 8 cm
Area = Length × Width 
        = 12 cm × 8 cm
        = 96 cm²

5. Find the width of a rectangle whose area is 120 cm² and length is 15 cm.

a) 10 cm
b) 8 cm
c) 6 cm
d) 4 cm

Answer: b)

Explanation: Area = Length × Width
120 cm² = 15 cm × Width
Width = $\frac{\frac{{\mathrm{120cm}}^2}{}}{\frac{\mathrm{15cm}}{}}$
           = 8 cm

6. The length and breadth of a rectangular piece of land are 500 m and 300 m respectively. Find the cost of the land, if m² of the land costs $120.

a) $180000
b) $18000000
c) $1500000
d) $1200000

Answer: b)

Explanation: Area of rectangular piece of land = length x breadth
                                                                     = 500 x 300
                                                                     = 150000 m²
Cost of the land = 150000 x 120
                          = $18000000

7. The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its area.

a) 500 cm²
b) 250 cm²
c) 525 cm²
d) 600 cm²

Answer: c)

Explanation: Perimeter = 2 x ( length + breadth)
100 = 2 x (35 + b)
50 = 35 + b
b = 15 cm

Area of rectangular sheet = length x breadth
                                         = 35 x 15
                                         = 525 cm²

8. Find the breadth of the rectangular plot of land if its area is 440 m² and the length is 22 m.

a) 11 m
b) 44 m
c) 30 m
d) 20 m

Answer: d)

Explanation: Area = Length x Breadth
440 = 22 x Breadth
Breadth = $\frac{\frac{\mathrm{440}}{}}{\frac{\mathrm{22}}{}}$
              = 20 m

9. If the length of a rectangle is doubled and the breadth remains the same, what happens to the area of the rectangle?

a) The area doubles.
b) The area remains the same.
c) The area triples.
d) The area quadruples.

Answer: a)

Explanation: Let length = l, breadth = b
Original area = l x b
  New length = 21
     New area = 2l x b
                     = 2lb

As a result, the new rectangle's area is double that of the original.

10. Select the option that represents the rectangle with the largest area.

a) Length = 25 m, Breadth = 25 m
b) Length = 50 m, Breadth = 10 m
c) Length = 40 m, Breadth = 15 m
d) Length = 30 m, Breadth = 20 m

Answer: a)

Explanation: Option A: Area = 25 m x 25 m = 625 m²
Option B: Area = 50 m x 10 m = 500 m²
Option C: Area = 40 m x 15 m = 600 m²
Option D: Area = 30 m x 20 m = 600 m²

We can see that Option A provides the largest area, 625 m².