# You are planting a rectangular garden. It is 5 feet longer than 3 times its width. The area of the garden is 250 ft. How do you find the dimensions of the garden?

Jan 10, 2017

Length = 30ft, width = 25/3 ft

#### Explanation:

Let say width(W) = x. Then length(L) = 3x+5

$A r e a = W \cdot L$
$\left(x\right) \left(3 x + 5\right) = 250$
$3 {x}^{2} + 5 x = 250$
$3 {x}^{2} + 5 x - 250 = 0$
$\left(3 x - 25\right) \left(x + 10\right) = 0$

$x = \frac{25}{3} \mathmr{and} x = - 10$
since it unit cannot be -ve,
$\therefore x = \frac{25}{3} o n l y$

$W = \frac{25}{3} f t$
$L = 3 \left(\frac{25}{3}\right) + 5 = 30 f t$