Question

area of square plot is 1089 sq m find side and perimeter of plot​

Answer 1

ᴜꜱɪɴɢ ꜰᴏʀᴍᴜʟᴀ :-

A=a2

ꜱᴏʟᴜᴛɪᴏɴ :-

a=√A=√1089=33m

ᴀɴꜱᴡᴇʀ :- 33ᴍ

Answer 2

Given: Area of a square plot = 1089 $m^{2}$

To find: Side and perimeter of plot

Let: Side of the plot be $x$ $m$

Solution: According to the given question:

Area of square plot = 1089 $m^{2}$

∵ Area of square = Side × Side

                            = $x^{2}$ (based on the assumption)

Now, $x^{2} = 1089$

⇒ $x = \sqrt{1089}$

⇒ $x =$ ± $33$

Since, side can't be negative in value, $x = 33m$

Side of square plot = 33m

∵ Perimeter of square plot = $4$ × $side = 4$ × $x$

                                            = $4$ × $33 = 132m$

Hence, side of the plot is 33m and perimeter is 132m.