Answer:
Step-by-step explanation:
The perimeter of a plane figure is the distance around the figure.
Lyric's garden is triangular. The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
Where a, b and c are the side lengths of the triangle.
Since the triangle is a right angle triangle, to determine the length, c of the third side, we would apply Pythagoras theorem. It is expressed as
Hypotenuse² = opposite side² + adjacent side²
c² = 10² + 7² = 100 + 49
c = √149 = 12.2 feet
The number of feet of fencing that Lyric needs to enclose the triangular garden is
10 + 7 + 12.2 = 29.2 feet