Question

A length of the rectangular plot of land is twice it's breadth.A square swimming pool is side is 8cm, occupied one eighth part of the plot. What is the length of the plot?

Answer 1

Answer:

Let breadth of plot is b

So, length of plot will be 2b

Area of rectangular plot = length x breadth = 2b x b = $\text {2b}^2$

Now, side of a square swimming pool is 8 cm.

So, area of a square swimming pool is 8 x 8 = 64 $\text { cm}^2$

As area of square swimming pool occupies one eighth part of the plot, so

Area of square swimming pool = $\cfrac{1}{8}$ of Area of rectangular plot.

$\Rightarrow 64 = \cfrac{1}{8} \times 2\text b^2$

$\Rightarrow 64 = \cfrac{1}{4} \times \text b^2$

$\Rightarrow \text b^2 = 256$

$\Rightarrow \text b = \pm 16$

Ignoring the negative value, as side cannot be negative.

So, length of plot is 2b = 2 x 16 = 32 cm

Step-by-step explanation: