Jan 22, 2013
The perimeter of a rectangle is 36 meters. the length of the rectangle is 4 meters longer than the width. find the length and width of the rectangle.
The equation of a perimeter of a rectangle is P=2L+2W. We know that the length (L) is equal to the width plus 4 m, or L=W+4. So we can now write the equation as:P=2(W+4)+2W =2W+8+2W =4W+8We know that the perimeter is 36, so we put that in:36=4W+8We subtract 8 from both sides:28=4WAnd then divide both sides by 4, which gives us:7=WRemembering that the length was given as W+4, we add 7 and 4 and have a result of L=11.