Posted by **Jane** on Tuesday, April 2, 2013 at 11:04am.

A walking path is shaped like a rectangle with a width 7 times its length "l". What is a simplified expression for the distance between opposite corners of the walking path?

- math -
**Wayne**, Tuesday, April 2, 2013 at 12:31pm
Did you draw a picture? The distance between opposite corners of the walking path (rectangle, in this case) would be the hypotenuse of a right triangle. Thus, we can use the Pythagorean Theorem: HYP^2 = leg^2 + leg^2

Let x = length; 7x = width, so

HYP^2 = x^2 + (7x)^2

HYP^2 = x^2 + 49x^2

faactor out x^2:

HYP^2 = x^2 * (1+49)

HYP^2 = X^2 * 25 * 2

square root both sides

HYP = 5x * sqrt(2)

## Answer this Question

## Related Questions

- Math - A playground is shaped like a rectangle with a width 5 times it's length...
- Math: Please check - A playground is shaped like a rectangle with a width 5 ...
- ALGEBRA - A playground is shaped like a rectangle with a width 5 times its ...
- algebra - Please Helpppp!!! Mother having a hard time with radicals. A ...
- mathq - Please show me how to work this. A park has two walking paths shaped ...
- math 117 - A garden area is 30 ft long and 20 ft wide. A path of uniform width ...
- Urgent! MATH - Can some one please explain to me how to do this??? You are ...
- Math - The variable W represents the width of a rectangle. The length of the ...
- math 121 - a window is shaped like a rectangle whose perimeter is 270 in. the ...
- math - A carpenter is building rectangular walls for a room addition. The width ...