The length of a rectangle is twice as long as its width. If the perimeter of the rectangle is 336 millimetres, find its length.
Answers
Answer:
length of rectangle = 112mm
Step-by-step explanation:
let width = x mm
length 2x mm
perimeter = 336 mm
2(l+b) = 336
2( 2x+x) = 336
2×3x = 336
6x = 336
x= 336/6
x= 56mm
width = 56mm
length = 56×2 = 112mm
Given,
Length of a rectangle is twice as long as its width.
Perimeter of the rectangle = 336 mm
To find,
The length of the rectangle.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Let, the width of the rectangle = x mm
So, the length of the rectangle = (2 × x) = 2x mm
Thus,
The perimeter of the rectangle :
= 2 × (Length + Width)
= 2 × (x+2x)
= 2 × 3x
= 6x mm
According to the data mentioned in the question,
6x = 336
x = 336/6
x = 56
So,
The width of the rectangle = 56 mm
And,
The length of the rectangle = 2 × 56 = 112 mm
Hence, the length of the rectangle is 112 mm