Question

The length of a rectangular basketball court is twice its width. If the area of the court is $10\sqrt{3}$ times the length, what is the length?

• A.
  $5\sqrt{3}$ units
• B.
  $10\sqrt{3}$ units
• C.
  $20\sqrt{3}$ units
• D.
  $15\sqrt{3}$ units

Answer 1

The correct option is C

$20\sqrt{3}$ units
Let length $=l\&$width $=w$
Given: area $=10\sqrt{3}\times l$

We Know: Area $=l\times w$
Hence,
$l\times w=10\sqrt{3}\times l\Rightarrow w=10\sqrt{3}$

Given: $l=2w$
$\Rightarrow l=2\times 10\sqrt{3}=20\sqrt{3}$

$\therefore \text{Length}=20\sqrt{3}$ units