Advertisements
Advertisements
प्रश्न
The length of a rectangle is three times its breadth. If the area of the rectangle is 1875 sq. cm, find its perimeter.
Advertisements
उत्तर
Let the breadth of a rectangle = x
and the length of a rectangle = 3x
∴ Area of the rectangle = l × b
⇒ 1875 cm2 = x × 3x
⇒ 3x2 = 1875
⇒ x2 = `1875/3`
⇒ x = `sqrt 625`
⇒ x = 25 cm
∴ Breadth of a rectangle = 25 cm
and legnth of a rectangle = 3 × 25 cm = 75 cm
Now, perimeter of a rectangle = 2 (l + b)
= 2 (75 + 25) cm
= 2 × 100 cm = 200 cm
APPEARS IN
संबंधित प्रश्न
A school playground is rectangular in shape with length = 120 m and breadth = 90 m. Some school boys run along the boundary of the play-ground and make 15 complete rounds in 45 minutes. How much distance they run during this period.
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?
Find the perimeter of an isosceles triangle with each equal side = 13 cm and the third side = 10 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.
The side of a square is 3.6 cm; find its perimeter.
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 cost of fencing a rectangular park of length 175 m and breadth of 125 m at the rate of ₹ 12 per metre.
A hedge boundary needs to be planted around a rectangular lawn of size 72 m × 18 m. If 3 shrubs can be planted in a metre of hedge, how many shrubs will be planted in all?
In the following figure, a rectangle with perimeter 264 cm is divided into five congruent rectangles. Find the perimeter of one of the rectangles.
