Question

The length of the plot of land is 4 times its breadth.A playground measuring 1200 sq. M. Occupies one-third of the total area of the plot.What is the length of the plot in metres?

Answer 1

Answer:

The length is 2880m.

Step-by-step explanation:

Length(l) = 4b(Breadth)

$\frac{1}{3}*a = 1200m^{2}$

So,

$a = 3*1200m^2 = 3600m^2$

And since a = lb,

a = 4b + b = 5b

Meaning,

$\frac{a}{5} = b$

i.e. (3600/5)$m^2$ = $720m^2 = b$

And as l = 4b,

$l = (4*720)m^2 = 2880m$