Question

Rectangle has a perimeter of 48". The length is 4" more than the width. What is the length?

16 14 12

18

Answer 1

Length equals 14

Explanation:

This problem can be written out as 2 equations

Since we know the perimeter (P) is 48, we can use the formula 2l+2w=P and get 2l+2w=48.

Then we can take the other equation, w+4=l (which I got from the second sentence), and substitute it for l in the equation.

This can be written out as- 2(w+4) + 2w=48

Then we distribute and get 2w + 2w + 8 = 48, simplifying to 4w + 8= 48

We then subtract 8 from 48 and get 4w=40, dividing 40 by 4 to get w=10.

then, we add 4 to w to get 14.

Answer 2

12

If you don't know it off the top of your head, work backwards.

48/4=12

Check:

12(4)=48