Answer:
The length of the rectangle is 17 cm and the width of the rectangle is 5 cm.
Step-by-step explanation:
Given the measurements in the question, you can set up two different equations to find the length and width of the rectangle. First, the formula for the perimeter of a rectangle is: P = 2W + 2L, where W = width and L=length. In this problem the L is '7 more than twice its width', this means our first equation is:
L = 2W + 7
Next, we can use this expression in our formula for perimeter to get our second equation:
P = 2W + 2(2W + 7) or 44 = 2W + 2(2W + 7)
Distribute: 44 = 2W + 4W + 14
Combine like terms: 44 = 6W + 14
Subtract 14 from both sides: 44 - 14 = 6W + 14 - 14 or 30 = 6W
Divide 6 from both sides: 30/6 = 6W/6 or W = 5
Now, solve for L: L = 2(5) + 7 or L = 10 + 7 = 17
So, the width is 5cm and the length is 17 cm.
