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
The diagonal of a rectangle is 34 cm. If its breadth is 16 cm; find its :
(i) length
(ii) area
In each of the following cases, ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion.
(All measurements are in metre).
(i)
(ii)
A school playground is rectangular in shape with length = 120 m and breadth = 90 m. Some school boys run along the boundary of the play-ground and make 15 complete rounds in 45 minutes. How much distance they run during this period.
Find the perimeter of a regular pentagon of side 8.2 cm.
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.
Find the perimeter and the area of the rectangle whose length is 6 m and breadth is 4 m
Length of a rectangular field is 250 m and width is 150 m. Anuradha runs around this field 3 times. How far did she run? How many times she should run around the field to cover a distance of 4 km?
The lid of a rectangular box of sides 40 cm by 10 cm is sealed all round with tape. What is the length of the tape required?
What is the perimeter of the following figures? What do you infer from the answers?
 (a) |
 (c) |
 (b) |
 (d) |
The perimeter of a rectangle is 60 m. What is the sum of its length and breadth?
