Question 164421
You can express the inverse variation of the length (L) and width (W) as:
{{{L = k/W}}} where k is the constant of variation. To find the value of k, substitute the given values of L (30 ft.) and W (18 ft.).
{{{30 = k/18}}} Solve for k.
{{{k = 30(18)}}}
{{{k = 540}}}
So now the equation of variation is:
{{{L = 540/W}}} Substitute W = 45 ft. to find L.
{{{L = 540/45}}}
{{{L = 12}}}
The garden would be 12 feet long.