# Each side of a square measures 65 m 5 dm.Find its area. By how many square metres does it fall short of a hectare?

marilynn07 | Certified Educator

To find the Area of a quadrilateral, you always multiply Length * Width. In the case of a square, all sides are the same length, so you simply multiply 65.5* 65.5. The reason you can use 65.5 is that there are 10 decimeters in one meter, so if you convert decimeters to meters you have 5/10 of a meter.

This is a two-step problem. After you have found the Area of the square, you must then subtract it from 10,000 which is how many square meters are in a hectare.

Your problem will look like this:

65.5*65.5 = A of square

10,000 - A = X sq meters

atyourservice | Student

65 m 5 dm

convert the dm into meters. There are 10m in 1dm so just divide the 5 by 10

5dm / 10 = .5 m add it to 65m

65 + .5 = 65.5 m

to find the area of the square, multiply 65.5 by itself:

65.5 x 65.5 = y meters squared

10,000 - y = h

jillyfish | Student

65m 5dm is the same as 65.5m.

To find the area of a square you multiply two of its sides...

So the area of your square is...

65.5 x 65.5 = X m.sq.

A hectare is a unit of area equal to 10,000 m.sq

So your answer will be 10,000 - X and the units will be Square Meters