Question

Each side of a square field is $4\frac{2}{3}$ m. Find its area.

Answer 1

Side of the square field = $4\frac{2}{3}\mathrm{m}$
∴ Area of the square = (side)²
= ${\left(4\frac{2}{3}\mathrm{m}\right)}^2$
= ${\left(\frac{14}{3}\mathrm{m}\right)}^2=\frac{14}{3}\mathrm{m}\times \frac{14}{3}\mathrm{m}=\left(\frac{14\times 14}{3\times 3}\right){\mathrm{m}}^2=\frac{196}{9}{\mathrm{m}}^2=21\frac{7}{9}{\mathrm{m}}^2$

Hence, the area of the square field is $21\frac{7}{9}{\mathrm{m}}^2$.