Question

Molly wants to put a fence around an area. The fence will follow the diagram of the triangle shown below.
10 ft
About how much fencing does Molly need?
A 28 ft
B 38 ft
C 43 ft
D 49 ft

Answer 1

Molly needs 43 ft of fence

Step-by-step explanation:

Given fig is a right angle triangle area.

The base (b) = 10 ft

The length of the hypotenuse (h) = 18 ft

To find the length of the fence around the area.

Formula

By Pythagoras theorem,

• h² = l²+b² where l be the height and b be the base and h is the hypotenuse.

• Fence around the area = Perimeter of the triangular area = sum of all the sides.

Now,

18² = l²+10²

or, l² = 18²-10²

or, l = √(18²-10²)

or, l = 14.9 = 15 (approx)

Perimeter of the triangular park = 10+18+15 ft = 43 ft

Hence,

Molly needs 43 ft of fence.

Answer 2

Applying the pythagorean theorem, the perimeter = amount of fencing needed which is: C. 43 ft.

What is the Pythagorean Theorem?

The pythagorean theorem states that if a and b are two legs of a right triangle, and c is the length of the hypotenuse, then c² = a² + b².

To find the perimeter, we have to know the length of the three sides of the right triangle.

Applying the pythagorean theorem, find the third side as shown below:

third side = √(18² - 10²)

third side = 15 ft

Perimeter = amount of fencing needed = 15 + 10 + 18 = 43 ft.

Learn more about the pythagorean theorem on:

https://brainly.com/question/654982