the length of a rectangular garden is twice its breadth if its perimeter is 36m find its length and breadth.
Answers
Answer:
length be 2x
breathe be x
first find the value of x
2(l+b)=36
2(2x+x)=36
2*3x
3x=36/2=18
x= 18*3=54
Answer :-
- Length of the park = 12 m.
- Breadth of the park = 6 m.
Given :-
- The length of a rectangular garden is twice its breadth.
- Its perimeter is 36 m.
To find :-
- The length and breadth of the garden.
Step-by-step explanation :-
Given, the length is twice its breadth.
Let the breadth be b.
Then the length will be 2b.
We know that :-
Perimeter of a rectangle = 2 (Length + Breadth)
The perimeter is 36 m.
Lets apply this formula.
Substituting the values, we get :-
Removing the brackets,
On simplifying,
Transposing 6 from LHS to RHS, changing it's sign,
Dividing 36 m by 6,
Therefore, the breadth (b) = 6 m.
The length = 2b.
So, the length = 2 × 6 m = 12 m.
Verification :-
To check our answer, let's apply the formula required for finding the perimeter of a rectangle, using the length and breadth.
We will multiply the length and breadth with 2, and then check whether we get the perimeter.
Length = 12 m
Breadth = 6 m.
Substituting the values, we get :-
LHS
RHS
Since we got the perimeter after applying the formula,
Hence verified!