# Garden root

• Nov 6th 2007, 03:08 PM
nathan02079
Garden root
A rectangular garden has length $\displaystyle 3 \sqrt 6$ metres and area $\displaystyle (9\sqrt2 - 6\sqrt3)$ square metres.

a) Write and simplify an expression for the width of the garden.
b) Determine the perimeter of the garden to the nearest tenth of a meter.

I'm sooo confused :confused:
• Nov 6th 2007, 03:15 PM
Jhevon
Quote:

Originally Posted by nathan02079
A rectangular garden has length $\displaystyle 3 \sqrt 6$ metres and area $\displaystyle (9\sqrt2 - 6\sqrt3)$ square metres.

a) Write and simplify an expression for the width of the garden.

ok, so for a rectangle, area = length times width. so, if we let the width be
$\displaystyle x$, we must have that

$\displaystyle 3 \sqrt{6}x = 9 \sqrt{2} - 6 \sqrt{3}$

now solve for $\displaystyle x$ and simplify the answer

Quote:

b) Determine the perimeter of the garden to the nearest tenth of a meter.
remember, the perimeter is the distance around the figure, that is, the length of all the sides. the perimeter for a rectangle with width $\displaystyle x$ and length $\displaystyle y$ is given by:

$\displaystyle P = 2x + 2y$