Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Rectangular Garden

The length and width of a rectangular
garden are 15 meters and 10 meters, respectively.
A walkway of width x surrounds the garden.
Write the equation for the perimeter y of the
walkway in terms of x.

Solution:

Let y = perimeter of the walkway

I am thinking of the perimeter formula
P = 2L + 2W.

In place of L and W, I use x.

In place of P, I use y.

y = 2(x + 15) + 2(x + 10)

y = 2x + 30 + 2x + 20

y = 4x + 50

Correct?

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 47,945

Re: Rectangular Garden

Hi,

P=l+l+w+w
P=(15 + 2x) + (15 + 2x) + (10 + 2x) + (10 + 2x)
P= 50 + 8x

where P is Perimeter, x is the pathway, l is the length, and w is the width.

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mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Rectangular Garden

Hi,

P=l+l+w+w
P=(15 + 2x) + (15 + 2x) + (10 + 2x) + (10 + 2x)
P= 50 + 8x

where P is Perimeter, x is the pathway, l is the length, and w is the width.

I almost got it. My 4x should have been 8x. Ok. This is one of the best skills in math to learn. That is, forming equations and/or functions from written passages. I believe this is the best math skill to master.