The perimeter of a rectangle is 400 meters. The length is 15 meters less than 4 times the width. Fin

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The perimeter of a rectangle is 400 meters. The length is 15 meters less than 4 times the width. Find the length and the width of the rectangle.

l = 4w - 15
Perimeter = 2l + 2w

Substitute, we get:
400 = 2(4w - 15) + 2w
400 = 8w - 30 + 2w
10w - 30 = 400

Add 30 to each side
10w = 370

Divide each side by 10 to isolate w
w = 37

Plug that back into our original equation to find l
l = 4(37) - 15
l = 148 - 15
l = 133

So we have (l, w) = (37, 133)