The length of a rectangular hall is 3 metres more than double to play it's breadth.if it's perimeter of 66 meters, what is the length
Answers
Given : Length of rectangular hall is 3 metres more than double of its breadth. It's perimeter is 66 metres.
To find : Length of rectangular hall
Solution :
In order to solve this problem, you should have some basic knowledge of the concept of perimeter.
Perimeter is basically the measure of length of a boundary. In the case of rectangle, it has 2 lengths and 2 breadths. It's perimeter would be 2 ( L + B ), where L is the measure of Length and B be the breadth.
Now since length of rectangular hall is 3 metres more than double of it's breadth.
Let's assume that breadth of hall be x, then it's length would be defined as ( 2 x + 3 ) metres.
Now by applying formula of perimeter, we get :
=> 2 ( Length + Breadth ) = 66 metres
=> 2 [ ( 2x + 3 ) + ( x ) ] = 66 metres
=> 2 [ 2x + 3 + x ] = 66 metres
=> 2 [ 3x + 3 ] = 66 metres
=> [ 3x + 3 ] = 66 / 2 metres
=> 3x + 3 = 33 meters
=> 3x = 33 - 3 metres
=> 3x = 30 metres
=> x = 30 / 3 metres
=> x = 10 metres
But according to our assumption, length was (2 x + 3 ).
So length of rectangular hall = [ 2 (10) + 3 ] = [ 20 + 3 ] = 23 metres.
Length of rectangular hall = 23 metres.
Step-by-step explanation:
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