Jane is going to fence in her back yard. She has purchased 120 feet of fencing and knows that she wants to fence in a rectangula
2 answers:
Answer:
Step-by-step explanation:
Given :She has purchased 120 feet of fencing and knows that she wants to fence in a rectangular area where one side will be the back of her house.
She knows her house is 25 feet across the back.
To Find : Which of the following is the equation that Jane can use to figure out how far back from the house she can fence in?
Solution :
Let the breadth of the house be x
Her house is 25 feet across the back.
Boundary to be fence = 25+x+x
We are given that She has purchased 120 feet of fencing
So,
Hence the equation that Jane can use to figure out how far back from the house she can fence in is
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Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,
Now,
Putting,
left = 25, altitude = 60 and right = x we get,
or, [ by cross multiplication]
or,
or,
Hence,
The value of x is 144.
