Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
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.
Mohit makes 8 full rounds of a rectangular field with length = 120 m and breadth = 75 m.
John makes 10 full rounds of a square field with each side 100 in. Find who covers larger distance and by how much?
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.
If A denotes area of a rectangle, l represents its length and b represents its breadth, find:
l, if A = 48 cm² and b = 6 cm
If A denotes area of a rectangle, l represents its length and b represents its breadth, find:
b, if A = 88 m² and l = 8m
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 rectangle is three times its breadth. If its perimeter is 64 cm, find the sides of the rectangle
Find the perimeter of the following figure
36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is ______.
If a wire in the shape of a square is rebent into a rectangle, then the ______ of both shapes remain same, but ______ may varry.
