SOLUTION: A garden is in the shape of a right triangle. The base of the triangle is 12m, and the garden covers an area of 30mē. What length of fence is needed to surround the garden? Show yo

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: A garden is in the shape of a right triangle. The base of the triangle is 12m, and the garden covers an area of 30mē. What length of fence is needed to surround the garden? Show yo      Log On


   

Question 951629: A garden is in the shape of a right triangle. The base of the triangle is 12m, and the garden covers an area of 30mē. What length of fence is needed to surround the garden? Show your steps.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
b=base; a=height; A=area=1/2ba
A=1/2bh
30 sq m=1/2 (12m)(a) Divide each side by 6m
5m=a The height is 5m
Since the garden is a right triangle, the third side is the hypotenuse and:
a%5E2%2Bb%5E2=c%5E2
5%5E2m%5E2%2B12%5E2m%5E2=c%5E2
25m%5E2%2B144m%5E2=c%5E2
169m%5E2=c%5E2 Find square root of each side.
13m=c
The perimeter of the triangle p=a+b+c=5m+12m+13m=30m
ANSWER: It would take 30 meters of fence to surround the garden.