Question

A square has the perimeter $56m$. Find its area and the length of one diagonal correct up to two decimal places

Answer 1

Let the side of square be x m

Perimeter = 56 m

$4\left(x\right)m=56m$

$x=14m$

Side of square = 14 m

Area of square $=(side{)}^2$

$=(14{)}^2{m}^2$

Area $=196m^2$

Length of diagonal of square

$=\sqrt{2}side$

$=\sqrt{2}\times 14$

$=14\times 1.73$

$=24.22cm$