Advertisements
Advertisements
प्रश्न
In the following figure, a rectangle with perimeter 264 cm is divided into five congruent rectangles. Find the perimeter of one of the rectangles.
Advertisements
उत्तर
Let l and b the length and breadth of each rectangle, respectively.
Given, perimeter of a rectangle = 264 cm
According to the figure,
4l + 5b = 264 ...(i)
And 2l = 3b ...(ii)
Put the value of 3b from equation (ii) in equation (i),
2(2l) + 5b = 264
⇒ 2 × 3b + 5b = 264
⇒ 6b + 5b = 264
⇒ 11b = 264
⇒ b = `264/11`
⇒ b = 24 cm
∴ `l = (3b)/2 = (3 xx 24)/2` = 36 cm
Hence, perimeter of the rectangle = 2(1 + b) = 2(36 + 24) = 120 cm.
APPEARS IN
संबंधित प्रश्न
The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.
Each side of a square field is 70 cm. How much distance will a boy walk in order to make?
(i) one complete round of this field?
(ii) 8 complete rounds of this field?
Find the perimeter of an isosceles triangle with each equal side = 13 cm and the third side = 10 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.
Find the perimeter of a rectangle whose area = 2600 m² and breadth = 50 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.
How much wire will be needed to make a rectangle 7 cm long and 4 cm wide?
If we take 4 rounds around a field that is 160 m long and 90 m wide, what is the distance we walk in kilometers?
If the length of a rectangle is 14 m and its breadth is 10 m, what is its perimeter?
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 smallest perimeter?
