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Molly wants to put a fence around an area. The fence will follow the diagram of the triangle shown below.

​About how much fencing does Molly need?

User Scosman
by
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2 Answers

1 vote

Answer:

Molly needs 43 ft of fencing

Explanation:

User Chuan Yeong
by
8.5k points
5 votes

Molly would need 43 feet of fencing to fence the area.

Explanation:

We can see that the area is in the form of a right-angled triangle. Since only two sides of the triangle is given, we could utilise Pythagoras theorem to our advantage to find out the third side.

In Δ ABC

AB² (base) + AC² (perpendicular) = BC² (hypotenuse)

Substituting the values of AB as 10 feet and BC as 18 feet

AC²= BC²- AB ²

∴AC²= 224

∴AC= 14.96 cm

Amount of fence required by molly would equal perimter of the area.

⇒The perimeter of the area would equal AB+BC+AC

⇒Summing up the values of AB, AC and BC

Perimeter= 10+14.96+18= 42.96 feet which is about 43 feet

Hence, Molly would require 43 feet of fencing.

Molly wants to put a fence around an area. The fence will follow the diagram of the-example-1
User Dhirendra
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