Advertisements
Advertisements
प्रश्न
Rectangle MNOP is made up of four congruent rectangles (see figure). If the area of one of the rectangles is 8 m2 and breadth is 2 m, then find the perimeter of MNOP.

Advertisements
उत्तर

We have, area of one rectangle = 8 m2
And breadth = 2 m
We know that,
Area of rectangle = l × b
⇒ l × b = 8
⇒ l × 2 = 8
⇒ l = 4 m
Now, we have to find the perimeter of MNOP, which contains four congruent rectangles, it means they have same length and breadth.
∴ Perimeter of rectangle MNOP = MN + NC + CD + DO + PO + PF + FA + MA
= 4 + 2 + 4 + 2 + 4 + 2 + 4 + 2
= 24 m
Hence, the perimeter of MNOP is 24 m.
APPEARS IN
संबंधित प्रश्न
The perimeter of a rectangle is 46 m and its length is 15 m. Find its :
(i) breadth
(ii) area
(iii) diagonal.
Each side of a rectangle is doubled. Find the ratio between :
(i) perimeters of the original rectangle and the resulting rectangle.
(ii) areas of the original rectangle and the resulting rectangle.
The length and the breadth of a conference hall are in the ratio 7: 4 and its perimeter is 110 m. Find:
(i) area of the floor of the hall.
(ii) a number of tiles, each a rectangle of size 25 cm x 20 cm, required for the flooring of the hall.
(iii) the cost of the tiles at the rate of ₹ 1,400 per hundred tiles.
Find the perimeter of a rectangle whose:
length = 8 m and breadth = 80 cm
A regular pentagon of each side 12 cm has same perimeter as that of a regular hexagon. Find the length of each side of the hexagon.
Each side of a square is 45 cm and a rectangle has length 50 cm. If the perimeters of both (square and rectangle) are same, find the breadth of the rectangle.
The cost of flooring a hall of ₹64 per square meter is ₹2,048. If the breadth of the hall is 5m, find:
(i) its length.
(ii) its perimeter.
(iii) cost of fixing a border of very small width along its boundary at the rate of ₹60 per square meter.
The table given below contains some measures of the rectangle. Find the unknown values.
| Length | Breadth | Perimeter | Area |
| 5 cm | 8 cm | ? | ? |

Each rectangle is made out of 12 equal squares, so all have the same area, but the length of the boundary will be different.
Which of these rectangles has the longest perimeter?
In the following figure, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).
![]() |
![]() |
| (i) | (ii) |


