The length of a rectangle is 2cm less than 7 times the width the perimeter is 60cm find the width and length
To find the width and length of a rectangle, we can set up a system of equations based on the given information.
Let's denote:
Width of the rectangle as 'w' (in cm)
Length of the rectangle as 'l' (in cm)
According to the given information:
The length of the rectangle is 2 cm less than 7 times the width.
This can be expressed as: l = 7w - 2
The perimeter of a rectangle is given by the formula: P = 2(l + w), where P represents the perimeter.
In this case, the perimeter is given as 60 cm. So we can write the equation as:
60 = 2(l + w)
Now, we can substitute the value of 'l' from the earlier equation into the perimeter equation:
60 = 2((7w - 2) + w)
Simplifying further:
60 = 2(8w - 2)
60 = 16w - 4
64 = 16w
w = 4
Now that we have found the value of the width, we can substitute it back into the equation for 'l':
l = 7w - 2
l = 7(4) - 2
l = 28 - 2
l = 26
Therefore, the width of the rectangle is 4 cm and the length is 26 cm.