Answer:
Explanation:
Let's start by assigning variables to the length and width of the frame. Let's call the width "w" and the length "l".
From the problem statement, we know that the perimeter of the frame is 80 inches. The formula for the perimeter of a rectangle is:
P = 2l + 2w
We can substitute the values we have:
80 = 2l + 2w
Simplifying the equation, we get:
40 = l + w
We also know that the length is five less than twice the width. Using our variables, we can write this as:
l = 2w - 5
Now we can substitute this expression for "l" into our equation for the perimeter:
40 = (2w - 5) + w
Simplifying this equation, we get:
40 = 3w - 5
Adding 5 to both sides, we get:
45 = 3w
Dividing both sides by 3, we get:
w = 15
Now that we know the width of the frame is 15 inches, we can use the equation we derived earlier to find the length:
l = 2w - 5
l = 2(15) - 5
l = 25
So the length of the frame is 25 inches.
Therefore, the width of the frame is 15 inches and the length of the frame is 25 inches.