the perimeter of a rectangle is 147 meters the length is 15 meters less than 5 times the width find the dimension
Perimeter is 2*L+2*W= 2*(L+W)
L=5*W-15
Perimeter=2*(5*W-15+W)=2*(6*W-15)
=12W-30=147 m ,147=12*W-30
147+30=12W , 12W=177 , W=177/12 L=5*(177/12)-15=(885/12)-(180/12)
=(705/12) L=705/12 Remark 15=(180/12)
Perimeter=2*(L+W)=2*((177/12)+(705/12))
=2*(882/12)=1764/12=147 m
Let's assume the width of the rectangle is "W" meters.
According to the given information, the length of the rectangle is 15 meters less than 5 times the width. So, the length can be represented as (5W - 15) meters.
The formula for the perimeter of a rectangle is given by: P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
In our case, the perimeter is given as 147 meters.
Plugging in the values, we have:
147 = 2((5W - 15) + W)
Now, we can solve this equation to find the value of W.
147 = 2(6W - 15)
147 = 12W - 30
12W = 177
W = 177/12
W = 14.75
So, the width of the rectangle is approximately 14.75 meters.
Now, we can find the length of the rectangle:
Length = 5W - 15
Length = 5(14.75) - 15
Length = 73.75 - 15
Length = 58.75
Therefore, the dimensions of the rectangle are approximately 14.75 meters for the width and 58.75 meters for the length.
To find the dimensions of the rectangle, we can set up an equation using the given information.
Let's assume that the width of the rectangle is represented by the variable "w".
According to the problem, the length is 15 meters less than 5 times the width, which can be expressed as (5w - 15).
The perimeter of a rectangle is given by the formula: P = 2*(length + width).
We are given that the perimeter is 147 meters, so we can set up the equation:
147 = 2*((5w - 15) + w)
Now, we can simplify and solve for "w".
147 = 2*(6w - 15)
147 = 12w - 30
177 = 12w
w = 14.75
Therefore, the width of the rectangle is approximately 14.75 meters.
To find the length, we can substitute the value of "w" back into the expression for the length:
length = 5w - 15
length = 5*(14.75) - 15
length = 73.75 - 15
length = 58.75
Therefore, the length of the rectangle is approximately 58.75 meters.
So, the dimensions of the rectangle are approximately 14.75 meters (width) and 58.75 meters (length).