12) Length and breadth of a rectangular field are 120 m and 60m respectively.
There is a square field of side 80m. Find the ratio of their perimeters.
Answers
Answer:
Length and breadth of a rectangular field =2×(l+b)
2×(120m+60m)
2×(180m)
360m
The side of square field =4×sides
4×80=320
the ratio of filed = 360-320=40mAns
Answer :-
Ratio of their Perimeters = 9 : 8.
Explanation :-
Given :
- Length of Rectangular field = 120m.
- Breadth of Rectangular field = 60m.
- Side of Square = 80m.
To Find :
- Ratio of their perimeters.
Solution :
We know that,
Perimeter of Rectangle = 2(l + b).
Perimeter of Square = 4 × side.
First, let's calculate the Perimeter of Rectangle.
⇒ Perimeter of Rectangle = 2(l + b).
⇒ Perimeter of Rectangle = 2(120 + 60).
⇒ Perimeter of Rectangle = 2(180).
⇒ Perimeter of Rectangle = 360 m.
Now, Calculating Perimeter of Square.
⇒ Perimeter of Square = 4 × side.
⇒ Perimeter of Square = 4 × 80.
⇒ Perimeter of Square = 320 m.
We have to calculate the ratio between them.
⇒ Perimeter of Rectangle/Perimeter of Square.
⇒ 360/320.
⇒ 36/32.
⇒ 9/8.
Therefore, Ratio between them = 9 : 8.