2006-09-05 05:15:13 · 9 answers · asked by Rachel J 1 in Science & Mathematics ➔ Mathematics
let the square have its side as 'a' units
if we divide this square into squares of side 1 unit
there will be 'a' squares length wise and a squares width wise
so total no of unit squares='a' into 'a'=a^2
the area of one unit square is 1 square unit
therefore the area of a^2 unit squares='a^2' square units
2006-09-05 05:30:53 · answer #1 · answered by raj 7 · 0⤊ 0⤋
Suppose you have square with a side equal to 4cm. We say the area of this square is 4*4=16cm^2. You want proof for this. We can verify it thus. Draw this square on a piece of graph paper. All Along the perimeter of this square mark distances of 1cm each. Now join the lines vertically and horizontally. What have you created? A grid of squares right? Now count the squares. You will verify for yourself that there are 16 squares each of which is 1cm^2. QED
2006-09-05 12:28:06 · answer #2 · answered by openpsychy 6 · 0⤊ 0⤋
The area of a square is the square of the "measured" one length of a perfect square
let one measured length be a,then the Area of the square = a^2
2006-09-05 13:42:48 · answer #3 · answered by falowofemi 1 · 0⤊ 0⤋
You do not need to "prove" the area of a square. A square, by definition, has an area equal to the square of the length of one side. That is, in fact, why it is called a square.
2006-09-05 12:21:24 · answer #4 · answered by wizard8100@sbcglobal.net 5 · 1⤊ 0⤋
L X W = Area of a square.
2006-09-05 12:18:26 · answer #5 · answered by eferrell01 7 · 0⤊ 0⤋
I'm no mathematician so I don't have any proof. Or maybe I was asleep during that lesson. But where I come from the area of a square is equal to the length times the width, of if you're ol' skul, breadth. Apparently, since all sides are equal, it is the square of one side.
2006-09-05 12:30:20 · answer #6 · answered by Dr. J 2 · 0⤊ 0⤋
Area of a square = Height x Width, or the length of one side squared.
Example:
Height = 2
Width = 2
2 x 2m = 4m squared
2006-09-05 12:23:45 · answer #7 · answered by Hot Water 3 · 1⤊ 0⤋
Area is measured in square units e.g. square centimetres. So for a square 3cm by 3cm, you can split it into 3 x 1cm for each side. Hence you get 9 squares each 1cm by 1cm that is 9 square centimetres. If it's a square a cm by a cm you get a x a square centimetres.
2006-09-05 13:12:23 · answer #8 · answered by astephens29 3 · 0⤊ 0⤋
L X W = AREA OF A SQUARE. EASY.
SO YOUR LIVING ROOM MEASURES 6 METRES BY 6 METRES = 36 SQUARE METRES.
YOU CAN MEASURE ANY AREA VIA THE SAME METHOD IT DOES NOT HAVE TO BE SQUARE.
YOU MAY HAVE A ROOM MEASURING 9FT BY 11 FT SAY A CHILDS BEDROOM.. USING THE SAME FORMAT
L = 11 FT X W = 9FT = THE SUM TOTAL OF 99 SQUARE FEET.
2006-09-06 22:42:59 · answer #9 · answered by Nosey parker 5 · 0⤊ 0⤋