# A rectangular garden is 28 feet long. If you walk diagonally across the garden, you would walk 35 feet. How many feet wide is the garden?

Feb 9, 2017

I got $21 \text{ft}$

#### Explanation:

We can use Pythagora's Theorem applied to the triangle $a b d$ in figure:

${a}^{2} + {b}^{2} = {d}^{2}$
so that:
$b = \sqrt{{d}^{2} - {a}^{2}}$
in numbers:
$b = \sqrt{{35}^{2} - {28}^{2}} = \sqrt{441} = 21 \text{ft}$