Posted by **Anonymous** on Wednesday, September 21, 2011 at 10:01pm.

A rectangular plot of ground having dimensions 24 feet by 26 feet is surrounded by a walk of uniform width. If the area of the walk is 104 feet squared, what is its width?

- Math -
**Jenni**, Wednesday, September 21, 2011 at 11:51pm
Boring

- Math -
**Steve**, Thursday, September 22, 2011 at 4:57pm
True, but that gets 0 points.

If the walk is w feet wide, then the inside dimensions are 24x26 and the outer dimensions are 24+w and 26+w. So, the area of the walk is the outer area minus the inner area.

(26+2w)(24+2w) - 26*24 = 624 + 100w + 4w^2 - 624 = 104

4w^2 + 100w - 104 = 0

w^2 + 25w + -26 = 0

(w-1)(w+26) = 0

So, w = 1 (-26 makes no physical sense)

26*28 - 26*24 = 26*4 = 104 as wanted.

## Answer this Question

## Related Questions

- Algebra - A rectangular plot of ground having dimensions 24 feet by 26 feet is ...
- math - a rectangular plot of ground having dimensions 46 feet by 30 feet is ...
- math - a rectangular swimming pool measures 20 feet by 40 feet. a walk of ...
- Math - A man built a walk of uniform width around a rectangular pool. If the ...
- Math - 1. A gardener has 30 feet by 20 feet rectangular plot of ground. He wants...
- Math - A rectangular pool measuring 6 feet by 12 feet is surrounded by a walkway...
- math - he dimensions of Liz's desk are 3.2 feet wide and 4.6 feet long. Match ...
- math - the dimensions of a rectangular prism are height 7 feet, width 4 feet and...
- Trig - Please EXPLAIN the steps on how to solve these problems. Please provide ...
- math - A pond 100 feet in diameter is surrounded by a circular grass walk which ...

More Related Questions