SOLUTION: # 7. A small area in front of a building is triangular in shape. The perimeter of the triangle is 49 meters. The second side is one-fourth of the first side in length. The third s
Algebra.Com
Question 190615: # 7. A small area in front of a building is triangular in shape. The perimeter of the triangle is 49 meters. The second side is one-fourth of the first side in length. The third side is 4 meters more than the first side. Find the length in meters of each side of the triangular region
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 7
Q: A small area in front of a building is triangular in shape. The perimeter of the triangle is 49 meters. The second side is one-fourth of the first side in length. The third side is 4 meters more than the first side. Find the length in meters of each side of the triangular region
A:
Let
x = length of first side
y = length of second side
z = length of third side
Since "The second side is one-fourth of the first side in length", this means that
Also, since "The third side is 4 meters more than the first side", this means
Finally, because "The perimeter of the triangle is 49 meters", this tells us that
Start with the third equation.
Plug in and
Multiply EVERY term by the LCD to clear the fraction.
Distribute and multiply.
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
So the length of the first side is 20 meters.
----------------------------------------------
Go back to the first equation
Plug in
Multiply
Reduce
So the length of the second side is 5 meters.
----------------------------------------------
Move onto the second equation
Plug in
Add
So the third side is 24 meters long.
=======================================================
Answer:
So the lengths of the three sides are:
First: 20 meters
Second: 5 meters
Third: 24 meters
RELATED QUESTIONS
1. A small area in front of a building is triangular in shape. The perimeter of the... (answered by ankor@dixie-net.com)
A small area in front of a building is triangular in shape. The perimeter of the triangle (answered by RAY100)
A small area in front of a building is triangular in shape. The perimeter of the triangle (answered by checkley77)
A small area in front of a building is triangular in shape. The perimeter of
the... (answered by checkley71)
A small area in front of a building is triangular in shape. The perimeter of the... (answered by tutor_paul)
A small area in front of a building is triangular in shape. The perimeter of the... (answered by checkley77)
Could you please help m solve this px?
A small area in front of a building is... (answered by jojo14344)
A small area in front of a building is triangular in shape. The perimeter of the... (answered by nerdybill)
A small area in front of a building is triangular in shape. The perimeter of the... (answered by jim_thompson5910)