the length of a rectangle is 4 times of its width.the perimeter of the rectangle if 150m
To find the dimensions of the rectangle given its perimeter, we can use the formula for the perimeter of a rectangle, which is twice the length plus twice the width.
Let's assume the width of the rectangle is represented by the variable "w". According to the problem, the length is 4 times the width, so we can represent the length as "4w".
The formula for the perimeter is:
2(length + width) = 150
Substituting the values:
2(4w + w) = 150
Simplifying the equation:
2(5w) = 150
10w = 150
w = 150/10
w = 15
So, the width of the rectangle is 15 meters.
To find the length, we can substitute the value of the width into the equation for the length:
length = 4w
length = 4(15)
length = 60 meters
Therefore, the dimensions of the rectangle are 60 meters for the length and 15 meters for the width.