SOLUTION: The length of a rectangle is 5 meters greater than the width. The Perimeter is 150 meters. Find the width and length.

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Question 9713: The length of a rectangle is 5 meters greater than the width. The Perimeter is 150 meters. Find the width and length.
Answer by prince_abubu(198) About Me  (Show Source):
You can put this solution on YOUR website!
The length is 5 meters greater than its width: +L+=+W+%2B+5+. The length is already longer, so it makes sense to add 5 meters to the shorter width to equal the length.

The perimeter is 150 meters. So: +2L+%2B+2W+=+150+ <------ Start here.

+2%28W+%2B+5%29+%2B+2W+=+150+ <------- Since we were given word about the relationship between length and width, we perform a substitution. Since +L+=+W+%2B+5+, we can replace the L with the +W+%2B+5+ in the perimeter equation. TIP: When substituting an expression for a variable, it is ALWAYS THE BEST to put the expression inside a parentheses.

+2W+%2B+10+%2B+2W+=+150+ <----------- Distributed

+4W+%2B+10+=+150+ <-------- Combined like terms

+4W+=+140+ <---------- Subtracted 10 from both sides.

+W+=+35+ <-------- The width is 35 meters. If the length is 5 meters greater than the width, then the length is 35 + 5 = 40 meters.