Question

Find the area and perimeter of a square plot of land whose diagonal is 24 m long. [Take `sqrt(2) = 1.41`.]

Answer 1

Area of the square=`1/2xx diagonal^2` 

=` 1/2xx24xx24` 

Now, let the side of the square be . xm

Thus, we have:  

`Area= "side"^2`  

⇒ `288=x^2`

⇒`x=12sqrt2` 

⇒`x=16.92` 

`Permeter=4xx "side"` 

=`4xx16.92` 

= `67.68m`  

Thus, the perimeter of thee square plot is 67.68 . m