Question 18285: a rectangular yard has a total perimeter of 220 feet. the widths of the yard are each 30 feet shorter than the lengths of the yard. what are the dimensions of the yard?
Answer by mmm4444bot(95)   (Show Source):
You can put this solution on YOUR website! Hello There:
We are told that the width of the rectangle is given in terms of the length. So, we start by assigning a variable name to represent the lenght of the rectangle. We then use this variable to write an expression for the width.
Let x = the length of the rectangle.
The width is 30 feet less.
x - 30 = the width of the rectangle.
Hopefully, you know that the perimeter is the sum of all four sides.
x + x + x - 30 + x - 30 = 220
Simplify the left side by combining like terms.
4x - 60 = 220
Solve for x.
4x = 280
x = 70
The length of the rectangle is 70; the width is 70 - 30 = 40.
Let's check our result.
Do the sides 70, 70, 40, and 40 add up to 220? (Yes, they do.)
Our answer is correct: The dimensions of the yard are 70 feet by 40 feet.
~ Mark
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