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
Find the length and perimeter of a rectangle, whose area = 120 cm2 and breadth = 8 cm
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.
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.
The length of a rectangle is twice of its breadth. If its perimeter is 60 cm, find its length.
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.
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?
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?
Find the perimeter of the following figure
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?
