the length of a rectangle is 20 metre more than its width if the perimeter of the rectangle is 100 metre then find the length and breadth of rectangle
Answers
Step-by-step explanation:
Solution :
Let,
- Width (breadth) of rectangle = x
- Length of rectangle = x + 20
Perimeter of rectangle = 100 metre (given)
Perimeter of rectangle = 2 (Length + Width)
100 = 2 [(x + 20) + x ]
100 = 2x + 40 + 2x
100 = 4x + 40
100 - 40 = 4x
60 = 4x
x = 60/4
x = 15
Width (breadth) of rectangle = 15 metre
• Length of rectangle = x + 20
15 + 20
35
Length of rectangle = 35 metre
Therefore,
- Width (breadth) of rectangle = 15 metre
- Length of rectangle = 35 metre
Answer:
The length of a rectangle is 20 metre more than its width if the perimeter of the rectangle is 100 metre then find the length and breadth of rectangle?
➝ GIVEN
Length of rectangle - 20 m more than its width
Perimeter of rectangle - 100 m
➜ TO FIND
The length and breadth of rectangle
☞ Length - 20 + Breadth
☞ Perimeter - 2( l + b ) = 100
= 2(20 + b ) = 100
☞ So, Let the breadth be "X"
☞ Then the length will be 20 + x
☞2 ( 20 + x ) = 100
☞ So, then
☞ 2x = 30
☞ X = 15
☞ Therefore, The breadth of the rectangle is 15 m
☞ So, therefore the length will be 20 + x
Means, 20 + 15
= 35 m.
Therefore,
Breadth = 15 m
Length = 35 m.
→ ADDITIONAL INFORMATION
Some, formula about Rectangle
Perimeter = add all the sides
Area = 1/2 × b × h
Length = a 2 + b 2 = c 2