1- A rectangular park's length is 2 times its breadth. If its perimeter is 60 meters, the length and
breadth of the park are meters and
meters, respectively. (7)
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Answers
Step-by-step explanation:
let the breadth of the park be x
so, the length of the park will be 2x
now,perimeter of the park=60 meters
*formula for perimeter=2(L+B)
60=2(2x+x)
60=2(3x)
60=6x
x=10 meters
therefore,
length=20 meters
breadth=10 meters
Correct Question :-
A rectangular park's length is 2 times its breadth. If its perimeter is 60 meters, the length and breadth of the park are meters and meters, respectively ___ and ___.
Answer :-
The Length and Breadth of Rectangular park is 20m and 10m respectively.
Step-by-step explanation:
To Find :-
- The length of park
- The breadth of park.
★ Solution
Given that,
- The length of the rectangular park is 2 times it's breadth.
- Perimeter of park is 60m.
Let us assume the length and breadth of rectangular park as (2x) and (x),
We know,
Perimeter of rectangle = 2(length + breadth),
∴ 2(2x + x) = 60
⇒ 2(2x + x) = 60
⇒ 2x + x = 60/2
⇒ 2x + x = 30
⇒ 3x = 30
⇒ x = 30/3
⇒ x = 10
The value of x is 10. According the question,
The length and breadth of park :-
- Length = 2x = 2*10 = 20m
- Breadth = x = 10m
Hence,
The length and breadth of the Rectangular park is 20m and 10m.