SOLUTION: Write the perimeter formula of a rectangle, and then substitute the following conditions into the formula: The perimeter of a rectangular garden is 100 feet, and the length of the

Question 194497This question is from textbook
: Write the perimeter formula of a rectangle, and then substitute the following conditions into the formula: The perimeter of a rectangular garden is 100 feet, and the length of the garden in 12 feet more than the width. Use x to represent the width. This question is from textbook

Answer by doukungfoo(195) (Show Source): You can put this solution on YOUR website!
The perimeter formula of a rectangle is 2 times its length plus 2 times its width.
2(length) + 2(width) = perimeter
We are told to use x to represent the width.
And that the length is 12 feet more than the width. So:
the length = x + 12
We are also given the perimeter is 100 feet so if we substitute all this information in to the perimeter formula we get:
2(x + 12) + 2x = 100
Now you can solve for width x
2(x + 12) + 2x = 100
2x + 24 + 2x = 100
4x + 24 = 100
4x = 76
x = 19
So the width is 19 feet
and to find the length
length = x + 12
length = 19 + 12
length = 31
So the length is 31 feet

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