area of rectangular garden is 400cm² if it's length is twice the breadth find the dimensions of garden
Answers
Hello user
Let L= 2x
B = x
So, x = 10*2^1/2
2x = 20*2^1/2
Answer: The length and breadth of the rectangular garden is 28.28 cm and 14.14 cm respectively.
Step-by-step explanation:
Area of rectangular garden=400cm^2
Let its breadth be x
Thus, length is 2x
We know that area of a rectangle = Length * Breadth
x(2x) = 400'
2x^2 = 400
x^2=200 (dividing both sides by 2 )
x= +14.14 or -14.14 (square rooting on both sides)
Breadth cannot be -ve, thus x=14.14cm
Length = 2x=2(14.14)= 28.28 cm
Thus , the length and breadth of the rectangular garden is 28.28 cm and 14.14 cm respectively.
I hope this helps you! p.s. i think area of the garden should be 800 cm^2 and then we'd get length as 40 cm and breadth would be 20 cm. Oh and idts area of a garden can be so small (since you said cm^2)
Anyway take no offence:) Have a GREAT day:D