Answer:
Length = 2.75 in.
Width = 6.25 in.
Explanation:
I'm going to use algebra and basic knowledge of rectangles to solve this problem. Lets say that the length is x.
length = x
width = 3x - 2
Formula for perimeter of a rectangle.
2l + 2w = p
Use given information to solve the problem. Substitute the terms in the equation for the variables I created.
2(x) + 2(3x-2) = 18
Use the distributive property to simplify.
2x + 6x - 4 = 18
Combine like terms.
8x - 4 = 18
Add 4 on both sides.
8x - 4 + 4 = 18 + 4
8x = 22
Divide by 8 on both sides.
x = 2.75
Length = 2.75 in.
Because x is the length and the width is 3 times the length minus 2,
2.75 * 3 - 2 = 6.25
Width = 6.25 in.