Posted by **Venus** on Tuesday, September 10, 2013 at 11:51am.

A rectangle has a diagonal of length 125. If the ratio fo the length of the short side to the length of the long side of the rectangle is 7:24, what is the length of the shorter side of the rectangle?

- Math - Polygons and Quadrilaterals -
**Jai**, Tuesday, September 10, 2013 at 12:45pm
Recall that the length of a diagonal of a rectangle can be calculated by,

D^2 = W^2 + L^2

or simply, we'll use the Pythagorean theorem.

Substituting,

125^2 = (7x)^2 + (24x)^2

15625 = 49x^2 + 576x^2

15625 = 625x^2

x^2 = 25

x = 5 (this is the multiplier for the ratio)

Therefore, the shorter side (which is 7x) is equal to 7*5 = 35.

Hope this helps~ :3

## Answer This Question

## Related Questions

- MATHS - A diagonal of a rectangle forms an angle of 60 degree with each of the ...
- math - The length of a rectangle is three times the length of a side of a square...
- math - A rectangle has an area of 72 square inches. The length of the longest ...
- Math - Abigail Adventuresome took a shortcut along the diagonal of a ...
- algebra , help - Can someone help me set up the equations thanks. Directions: ...
- Math,Ratio - the length of a rectangle is 6times as long as its breadth. a.) ...
- Math. fast please! - The length of a rectangle is 3 cm and the width is 2 cm. ...
- Math - The length of a rectangle is 1 more than the side of a square and the ...
- geometry - A rectangle has a side whose length is 5 and a diagonal whose length ...
- math - a rectangle has length (5-squareroot12)m and breadth (4+6/squareroot3)m. ...

More Related Questions