the length of a rectangular field is twice its breadth if the perimeter of the field is 150 M find its length and breadth
Answers
Answered by
23
let breadth be x
let length be 2x
now perimeter = 2(length +breadth)
= 2(x+2x) = 2(3x) =6x
now
6x = 150
x= 150/6=25
so breadth = 25m
and length = 50m
let length be 2x
now perimeter = 2(length +breadth)
= 2(x+2x) = 2(3x) =6x
now
6x = 150
x= 150/6=25
so breadth = 25m
and length = 50m
Answered by
53
Let the constant be x
Let the breadth be x metre
Given, length is twice the breadth.
Let the length be 2x metre
Given, perimeter is 150m
We know that, Perimeter of a rectangle = 2(l + b)
According to the question,
2(l + b) = Perimeter of reactangle
➾ 2(2x + x) = 150
➾ 4x + 2x = 150
➾ 6x = 150
➾ x =![\dfrac{150}{6} \dfrac{150}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B150%7D%7B6%7D)
➾ x = 25
∴ Length of the rectangular field ➾ 2x m
➾ 2 × 25
➾ 50m
∴ Breadth of the rectangular field ➾ x m
➾ 25m
Let the breadth be x metre
Given, length is twice the breadth.
Let the length be 2x metre
Given, perimeter is 150m
We know that, Perimeter of a rectangle = 2(l + b)
According to the question,
2(l + b) = Perimeter of reactangle
➾ 2(2x + x) = 150
➾ 4x + 2x = 150
➾ 6x = 150
➾ x =
➾ x = 25
∴ Length of the rectangular field ➾ 2x m
➾ 2 × 25
➾ 50m
∴ Breadth of the rectangular field ➾ x m
➾ 25m
Anonymous:
Nice di✌✌
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