# algebra

posted by
**christine**
.

suppose the length of a rectangle increases,but the perimeter remains at 70 feet. How does the width change?

Either the width increases, decreases or remains the same. Which of these three choices makes the most intuitive sense?

We know perimeter = 2(length +width)

If perimeter = 70 then 70/2=length + width so whatever the length increases by, the width decreases by.

Thus 35 = (length + x) + (width - x)

Does that make sense?