Find the length and width

Question

The width of a rectangle is 16 yards more then the length. The perimeter is 208 yards. Find the length and the width

Answer 1

Hello Nallely,

Let's first assign some expressions to represent the length and width, okay? Therefore,

Let x equal the length

Let x + 16 the width

The formula for determining the perimeter of a rectangle is as follows:

P = 2 (L + W) or P = 2(L) + 2(W) where P equals perimeter, L equals the length, and W equals the width. Please note that the second formula is simply the first with the distributive property of math applied.

P = 2(x + 16) + 2(x)

208 = 2x + 32 + 2x

208 = 4x + 32

176 = 4x

x = 44 yards <-------This is the length

x + 16 =

44 + 16 =

60 yards <-------This is the width

Now, let's check our work, okay?

P = 2(L) + 2(W)

208 = 2(44) + 2(60)

208 = 88 + 120

208 = 208

Please note: The length of a rectangle is longer than the width. However, I am using the information you provide in the problem. I highly encourage you to double check whether the problem is accurate, especially regarding the width and length. I hope this helps and wish you a great week.. Best!