Advertisements
Advertisements
प्रश्न
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 figure. Which of the following statements is correct for the remaining sheet?
विकल्प
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
उत्तर
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
संबंधित प्रश्न
The area of a small rectangular plot is 84 m2. If the difference between its length and the breadth is 5 m; find its perimeter.
The length and the breadth of a rectangular field are in the ratio 5: 4 and its area is 3380 m2. Find the cost of fencing it at the rate of ₹75 per m.
A rectangular field is 30 m in length and 22m in width. Two mutually perpendicular roads, each 2.5 m wide, are drawn inside the field so that one road is parallel to the length of the field and the other road is parallel to its width. Calculate the area of the crossroads.
Find the perimeter of a rectangle whose:
length = 3.6 m and breadth = 2.4 m
The perimeter of a square is 60 m, find:
(i) its each side its area
(ii) its new area obtained on increasing
(iii) each of its sides by 2 m.
Find the cost of fencing a rectangular park of length 250 m and breadth 175 m at the rate of Rs. 12 per metre.
The length of a rectangular plot of land is 50 m and its width is 30 m. A triple fence has to be put along its edges. If the wire costs 60 rupees per metre, what will be the total cost of the wire needed for the fence?
The table given below contains some measures of the rectangle. Find the unknown values.
| Length | Breadth | Perimeter | Area |
| 5 cm | 8 cm | ? | ? |
The length of a rectangle is three times its breadth. If its perimeter is 64 cm, find the sides of the rectangle
There is a rectangular lawn 10m long and 4m wide in front of Meena’s house (see the figure). It is fenced along the two smaller sides and one longer side leaving a gap of 1m for the entrance. Find the length of fencing.
