Advertisements
Advertisements
Question
Length of a rectangle is three times its breadth. Perimeter of the rectangle is 40 cm. Find its length and width.
Advertisements
Solution
Let l and b are length and breadth respectively of the given rectangle.
According to question, l = 3b
Perimeter of the rectangle = 2(1 + b)
⇒ 40 cm = 2(3b + b)
⇒ 40 cm = 2 × 4b
⇒ 40 cm = 8b
⇒ `40/8` cm = b
⇒ b = 5 cm
∴ The required length = 3 × 5 cm = 15 cm and breadth = 5 cm
APPEARS IN
RELATED QUESTIONS
The perimeter of a rectangle is 46 m and its length is 15 m. Find its :
(i) breadth
(ii) area
(iii) diagonal.
Each side of a rectangle is doubled. Find the ratio between :
(i) perimeters of the original rectangle and the resulting rectangle.
(ii) areas of the original rectangle and the resulting rectangle.
Find the perimeter of a rectangle whose:
length = 8 m and breadth = 80 cm
Each side of a square field is 70 cm. How much distance will a boy walk in order to make?
(i) one complete round of this field?
(ii) 8 complete rounds of this field?
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 regular pentagon of side 8.2 cm.
Four rounds of wire fence have to be put around a field. If the field is 60 m long and 40 m wide, how much wire will be needed?
The length of a rectangle is three times its breadth. If its perimeter is 64 cm, find the sides of the rectangle
If the length of a rectangle is 14 m and its breadth is 10 m, what is its perimeter?
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?
