Two-step equation word problem: garden

the perimeter of Tina's rectangular garden is 60 feet if the length of the garden is twice the width the length 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 this is the width and 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 where 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 3 w 4w 6w so this is equal to 6w that's the perimeter in terms of the width they also tell us that it the actual 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're assuming that we're dealing with feet so we just have the equation 6 W 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 this 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