the length of garden is twice the breath of garden if area is 800cm² find its perimeter
Answers
Topic
Mensuration
Formula
Area of Garden = Length * Breadth
Perimeter of a rectangle = 2( Length + Breadth )
Given
Length = 2( Breadth )
Area of rectangular garden = 800 cm²
Solving
800 cm² = 2( Breadth ) * Breadth
800 cm² = 2( Breadth )²
400 cm² = ( Breadth )²
Taking roots we get,
20 cm = Breadth
Then length will be
2* 20 cm = 40 cm
Formula of perimeter of a rectangular garden
= 2( Length + Breadth )
= 2( 40cm + 20cm )
= 2( 60 cm )
= 120 cm
Answer
So, the perimeter of garden is 120 cm.
Thank you.
Answer:
Step-by-step explanation: Given:- Area = 800 cm ^2
Let the breadth be x
=> Length will be 2x ( According to the question )
We know that,
Area of rectangle = length x breadth
Therefore, area of garden = 2x x x
=> 800 = 2x^2
=> x^2 = 800/2
=> x^2= 400
=> x = √ 400
=> x = 20
Therefore, breadth = 20 cm
=> Length = 20 x 2 = 40 cm
We know that,
Perimeter of rect. = 2( length + breadth)
Therefore , perimeter of garden = 2( 40 + 20 )
=> Perimeter = 2 x 60
=> Perimeter = 120 cm (Ans.)