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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The length is 5 meters greater than its width: . 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: <------ Start here.

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

<----------- Distributed

<-------- Combined like terms

<---------- Subtracted 10 from both sides.

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