Advertisements
Advertisements
प्रश्न
In the given figure, a rectangle with perimeter 264 cm is divided into five congruent rectangles. Find the perimeter of one of the rectangles.
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.
Find the perimeter of a rectangle whose:
length = 10 m and breadth = 8 m
Find the perimeter of a regular pentagon of side 8.2 cm.
Find the perimeter of a regular hexagon of side 6.5 cm.
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.
A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in the figure. What is the total length of rope he must use?
Find the perimeter and the area of the rectangle whose length is 6 m and breadth is 4 m
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?
A rectangular path of 60 m length and 3 m width is covered by square tiles of side 25 cm. How many tiles will there be in one row along its width? How many such rows will be there? Find the number of tiles used to make this path?
A rectangular piece of land measures 0.7 km by 0.5 km. Each side is to be fenced with 4 rows of wires. What is the length of the wire needed?
