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
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.
In each of the following cases, ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion.
(All measurements are in metre).
(i)
(ii)
Find the perimeter of a rectangle whose:
length = 40 cm and breadth = 35 cm
Find the perimeter of a rectangle whose:
length = 10 m and breadth = 8 m
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.
Find the perimeter of a rectangle whose area = 2600 m² and breadth = 50 m.
The sides of a triangle are 24.7cm, 20.4 cm, and 10.5 cm respectively. What is the perimeter of the triangle?
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 the following figure. Which of the following statements is correct for the remaining sheet?
An increase in perimeter of a figure always increases the area of the figure.
Rectangle MNOP is made up of four congruent rectangles (see figure). If the area of one of the rectangles is 8 m2 and breadth is 2 m, then find the perimeter of MNOP.
