the perimeter of a rectangle is equal to the perimeter of a square. twice the length of the rectangle is equal to 3 times, its breadth. if one side of the square measures 100cm, find the length and the breadth of the rectangle.
Answers
Answer:
100 divided by 3 = 300 cm the l and b is [1/3]
Question
the perimeter of a rectangle is equal to the perimeter of a square. twice the length of the rectangle is equal to 3 times, its breadth. if one side of the square measures 100cm, find the length and the breadth of the rectangle.
To Find
The length and breadth
L = ?
B = ?
Let's Understand the question
The perimeter of the Rectangle is equal to the
perimeter of the square.
When we twice the lenght of the rectangle is
equal to 3 times means when we get the lenght
we have to twice it to the breath.
If the one side of the square is 100 cm then all
sides are same And then we get
the lenght and breath.
RECTANGLE
FORMULA
= 2 (l+b)
= 2 (3+b)
= 2 (3+x)
2×3+x
= 6+2x
= 8x
We have to twice it
= 8x+2
= 10x
SQUARE
FORMULA
= S×S
= 100x × 100
= 10,000x
So , here
Rectangle = 10x
Square = 10,000x
Length = 2x= 10,000/10
Length = 1000
Breath = 2x = 1000
Breath = x = 1000/2
Breath = 500
Answer is
Length = 1000
Breath = 500