Question

the primeter of a rectangle is 24ft. the length is 2 ft longer than the width. Find the dimensions. Write a system of linear equations and solve the resulting system. Let x be the length and y be the width.

Is the answer for the lenght 16ft
and 8ft for the width?

Answer 1

No. Remember there are four sides to a rectangle. Also 16 is not 2 feet longer than the width.

Please try again.

Answer 2

okay 14ft for length and 10 for the width.

Answer 3

14 - 10 = 4

Your perimeter is 48 feet long.

P = 2L + 2W

24 = 2(W + 2) + 2W

Answer 4

I am getting lost here. I came up with 8 ft for the length and 4 ft for the width. I hope this is right.

Answer 5

But the length is only 2 feet longer than the width.

24 = 2(W + 2) + 2W

24 = 4W + 4

20 = 4W

5 = W

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5 + 2 = 7

Length = 7

Let's see if that produces a perimeter of 24

5 + 5 + 7 + 7 = 24

Answer 6

thanks so much.

Answer 7

You're very welcome.