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

OKs l = 16√2 m is the ans

Answer 2

Let Breadth of the rectangular plot of land is B.

then length of land will be 2B.

a/c to question,

a square swimming pool of side 8m occupies one-eighth part of the plot.

it means, area of swimming pool = 1/8 × area of rectangular land

or, (side length)² = 1/8 × length × Breadth

or, (8m)² = 1/8 × 2B × B

or, 64 = 1/4 × B²

or, 64 × 4 = B²

or, B = 16 m

hence , breadth of the rectangular plot of land is 16m and length of rectangular land is 2 × 16 = 32m

so, answer is 32m