perimeter of rectangle is 180 metre and its length is 10 metre more than its width find the length and with the answer NCERT solution
Answers
Given :-
• Perimeter of rectangle = 180m
• Length of rectangle is 10m more than it's width.
To Find :-
• What's the length of the perimeter?
Solution :-
Let the width of rectangle be x m.
As per question :-
Given,
Length of rectangle is 10m more than it's width.
Therefore,
The length of the perimeter will be = ( x + 10) m.
We know that,
Perimeter of rectangle = 2(l + b)
Where,
l = Length
b = Breadth
According to the question :-
⟼Perimeter of rectangle = 180
⟼ 2 × (x + x +10) = 180
⟼2 × (2x + 10) = 180
⟼ 2x + 10 = 180/2
⟼ 2x + 10 = 90
⟼ 2x = 90 - 10
⟼ 2x = 80
Extra Information :-
•Area of rectangle = l × b
• Perimeter of rectangle = 2(l + b)
• Diagonal of rectangle = √l² + b²
• Length of rectangle = Area/Breadth
•Breadth of rectangle = Area/length
Answer:
Given :-
• Perimeter of rectangle = 180m
• Length of rectangle is 10m more than it's width.
To Find :-
• What's the length of the perimeter?
Solution :-
Let the width of rectangle be x m.
As per question :-
Given,
Length of rectangle is 10m more than it's width.
Therefore,
The length of the perimeter will be = ( x + 10) m.
We know that,
Perimeter of rectangle = 2(l + b)
Where,
l = Length
b = Breadth
According to the question :-
⟼Perimeter of rectangle = 180
⟼ 2 × (x + x +10) = 180
⟼2 × (2x + 10) = 180
⟼ 2x + 10 = 180/2
⟼ 2x + 10 = 90
⟼ 2x = 90 - 10
⟼ 2x = 80
→ x = 40m→x=40m
Extra Information :-
•Area of rectangle = l × b
• Perimeter of rectangle = 2(l + b)
• Diagonal of rectangle = √l² + b²
• Length of rectangle = Area/Breadth
•Breadth of rectangle = Area/length