the length of a rectangle is 9 feet more than the width . if the perimeter is 174 feet, what are the length and the width
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x + x + x + 9 + x + 9 = 174
x is the length of the width, and since the length is 9 more than the width, it would be x + 9
So you have a rectangle that looks like this.
Since the perimeter is just 2w+2l, you can write an equation.
Now plug in your details. We know that P is 174 feet.
We know that the length is (w+9) and the width is just w. Plug those in.
Now solve this.
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All you have to do is solve now :)
Great response @RagingSquirrel
Thanks! :) I always appreciate recognition
Good! Now solve for w. Can you do that?
You need to get the w all by itself.
Subtract 18 from both sides.
There's still a 4 in the way. To get that out, you need to divide both sides by 4.
156 divided by 4=4w divided by 4
Flip it so w comes first. Then add your label.
Your width is 39 feet. To find the length, just plug 39 in for w in our equation for length.