Question

Find the area of a square if its sides measure 2 2/3m

Answer 1

Answer:

$7\dfrac{1}{9}\ m^2$

Step-by-step explanation:

If the length of the square side is a units, then the area of the square is

$A=a^2\ un^2.$

In your case, the side length is

$a=2\dfrac{2}{3}\ m,$

then the area is

$A=2\dfrac{2}{3}\cdot 2\dfrac{2}{3}\\ \\ \\A=\dfrac{2\cdot 3+2}{3}\cdot \dfrac{2\cdot 3+2}{3}\\ \\ \\A=\dfrac{8}{3}\cdot \dfrac{8}{3}\\ \\ \\A=\dfrac{64}{9}\\ \\ \\A=7\dfrac{1}{9}\ m^2$