Question

Mikayla planted a garden in her backyard in the shape of a right triangle. The two legs of the triangle are 12 feet each. Fencing costs $5 per foot. How much will it cost to fence the entire perimeter of the garden?

Answer 1

$204.85

Explanation:

Let the two legs be the adjacent and the opposite of the right triangle. To get the third side (the hypotenuse), we will use the pythagoras theorem;

`hyp^2 = opp^2 + adj^2\\hyp^2 =12^2+12^2\\hyp^2 = 144+144\\hyp^2 = 288\\hyp = √(288)\\hyp = 16.97 feet`

Perimeter of the garden will be the sum of all the three sides.

Perimeter of the garden = 12 + 12 + 16.97

Perimeter of the garden = 40.97 feet

Since 1 foot = $5

40.97 feet = x

Cross multiply

1*x = 5*40.97

x = 204.85

Hence it will cost $204.85 to fence the entire perimeter of the garden