Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.
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 regular pentagon of side 8.2 cm.
A rectangle with length = 18 cm and breadth = 12 cm has same perimeter as that of a regular pentagon. Find the side of the pentagon.
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.
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 | ? | ? |
Find the perimeter and the area of the rectangle whose length is 6 m and breadth is 4 m
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 correct formula for the perimeter of a rectangle with length (l) and breadth (b)?
