The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle

Question

anonymous · Answer

Let w be the rectangle's width.
Solve the following for w:
2 (w + (w + 4)) = 34
                     w = 13/2

anonymous · Answer

$$\text{Length}=\frac{13}{2}+4=\frac{21}{2} $$

anonymous · Answer

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Heres something a little bit simpler and maybe easier to follow. Finding the perimeter is finding the sum of all the sides. The width=w, and the length=w+4. There are two of each of these, therefore, you have to add them all. w+w=2w, (w+4)+(w+4)=2w+8. 2w+2w+8= 4w+8.

Set this expression equal to 34, the perimeter of the rectangle, and solve for w. By doing that, you should get w=6.5. Which is equal to (13/5). To find the length of the rectangle, simply plug 6.5 into w+4. 

6.5+4=10.5

The length of the rectangle is 10.5 inches.