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# Two-step equation word problem: garden

Here's a nifty word problem in which we find the dimensions of a garden given only the perimeter. Let's create an equation to solve! Created by Sal Khan and Monterey Institute for Technology and Education.

Video transcript

The perimeter of Tina's
rectangular garden is 60 feet. If the length of the
garden is twice the width, what are the dimensions
of the garden? So let's draw this garden
here, Tina's garden. So it's a rectangle. They tell us that it's
a rectangular garden. So it looks something like this. And let's say that
this is the width. So if this is the
width, then this is also going to be the width. And this is the length up here. And they tell us that
the length of the garden is twice the width. So if this is w, then the
length is going to be 2w. It's going to be
twice the width. This is also going
to be 2w over here. Now, what's the
perimeter of this garden? Well, it's going to be w
plus w plus 2w plus 2w. Let me write this down. The perimeter of
this garden is going to be equal to w plus
2w plus w plus 2w, which is equal to what? This is w plus 2w is 3w, 4w, 6w. So this is equal to 6w. That's the perimeter
in terms of the width. But they also tell us that
the actual numerical value of the perimeter is 60 feet. It is 60 feet. So this perimeter 6w
must be equal to 60 if we assume that we're
dealing with feet. So we just have the
equation 6w is equal to 60. We can divide both
sides of this equation by 6 so that we have just
a w on the left-hand side. 6w divided by 6 is just w. And then 60 divided by 6 is 10. So we have w is equal to 10. So the width of
the garden is 10. So this distance
over here is 10. And then what is the
length of the garden? Well, it's 2 times the width. So this is equal to 20. The length is equal to 20. And so we're done. This is a 20 by 10 garden.