Question 8396
Well, your guess-and-check method gave you the right answer.

Here's how you might do it algebraically:

P = 2(L+W)= 310 m  The formula for the perimeter of a rectangle.

L = W+25 m The length is 25 m greater than the width.

P = 2((W+25) + W) = 310  Simplify and solve for W

2(2W + 25) = 310

4W + 50 = 310 Subtract 50 from both sides.

4W = 260 Divide both sides by 4.

W = 65 m and L = W + 25 = 65 + 25 = 90 m.

So the length is 90 m and the width is 65 m.