Advertisements
Advertisements
Question
Length and breadth of a rectangular sheet of paper are 20 cm and 10 cm, respectively. A rectangular piece is cut from the sheet as shown in the following figure. Which of the following statements is correct for the remaining sheet?
Options
Perimeter remains same but area changes.
Area remains the same but perimeter changes.
Both area and perimeter are changing.
Both area and perimeter remain the same.
Advertisements
Solution
Perimeter remains same but area changes
Explanation:
Perimeter of rectangular sheet = 2 × (Length + Breadth)
= 2 × (20 + 10)
= 2 × 30
= 60 cm
∴ A × Breadth = 200 cm2 
Now, perimeter of rectangular sheet after cutting the rectangular piece
= Sum of all sides
= 20 + 8 + 5 + 2 + 15 + 10
= 60 cm
Area = Area of rectangle ABFG + Area of rectangle BCDE
= (Length × Breadth) + (Length × Breadth)
= (15 × 10) + (5 × 8)
= 150 + 40
= 190 sq cm
Hence, perimeter remains the same but area changes after cutting the piece.
APPEARS IN
RELATED QUESTIONS
Find the perimeter of a rectangle whose:
length = 3.6 m and breadth = 2.4 m
Find the perimeter of a regular pentagon of side 8.2 cm.
If A denotes area of a rectangle, l represents its length and b represents its breadth, find:
b, if A = 88 m² and l = 8m
Find the perimeter of a rectangle whose area = 2600 m² and breadth = 50 m.
Look at the figures on the sheet of graph paper. Measure their sides with the help of the lines on the graph paper. Write the perimeter of each in the right box.
- Perimeter of rectangle ABCD = ______ cm.
- Perimeter of rectangle EFGH = ______ cm.
- Perimeter of square PQRS = ______ cm.
- Perimeter of rectangle STUV = ______ cm.
How many different rectangles can be made with a 48 cm long string? Find the possible pairs of length and breadth of the rectangles.
36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is ______.
An increase in perimeter of a figure always increases the area of the figure.
In the following figure, a rectangle with perimeter 264 cm is divided into five congruent rectangles. Find the perimeter of one of the rectangles.
A rectangle has length 15 cm and breadth 9 cm. What is its perimeter?
