The length of a rectangle is 5 centimeters greater than the width. The perimeter is 70 centimeters.
What is the length?
What is the width?
2L + 2W = 70
2(W + 5) + 2W = 70
2W + 10 + 2W = 70
4W = 60
W = ?
How woould you get the lengh
i got it 20! thanks
Yes, the length is 20 cm.
You're welcome.
To find the length and width, we can set up a system of equations based on the information given.
Let's assume that the length of the rectangle is L and the width is W.
Based on the first piece of information, we know that the length is 5 centimeters greater than the width, so we can write the following equation:
L = W + 5 (Equation 1)
The second piece of information tells us that the perimeter of the rectangle is 70 centimeters. The formula for the perimeter of a rectangle is given by:
Perimeter = 2L + 2W
Substituting the value of L from Equation 1 into this formula, we get:
70 = 2(W + 5) + 2W
70 = 2W + 10 + 2W
70 = 4W + 10
Simplifying the equation further:
4W = 70 - 10
4W = 60
W = 60/4
W = 15
So, the width of the rectangle is 15 centimeters.
Now we can substitute this value of W back into Equation 1 to find the length:
L = 15 + 5
L = 20
Therefore, the length of the rectangle is 20 centimeters.
So, the length is 20 centimeters and the width is 15 centimeters.