SOLUTION: Instead of walking along two sides of rectangular field, Frank took a shortcut along the diagonal, thus saving distance equal to half the length of the longer side. Find the length
Algebra.Com
Question 661911: Instead of walking along two sides of rectangular field, Frank took a shortcut along the diagonal, thus saving distance equal to half the length of the longer side. Find the length of the long side of the field, given that the length of the short side is 156 meters.
I've been struggling with this question can you please help me . it will be very appreciated
Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
Let x be the length of the longer side. We know that the shorter side is 156 meters. We can use the Pythagorean Theorem to calculate the length of the diagonal:
If Frank had walked along two sides of the field, he would have walked x+156 meters. By walking along the diagonal, he saved half the length of the longer side, or meters.
So we have
Squaring both sides:
The long side of the field is 208 meters.
RELATED QUESTIONS
The sides of a rectangle field are 50 and 120 feet. How many seconds are saved if a man... (answered by stanbon)
A soccer field is 100 yards wide and 130 yards long. if a person walls across the field... (answered by TimothyLamb)
a soccer field is 70 yd wide and 100 yd long. If a person walk across the field along the (answered by Boreal,rapture)
Ashley saved a distance equal to 80% of the length of the shortest side of a rectangular... (answered by josgarithmetic)
Ram walked diagonally across a circular field of radius 42m.if he had walked along edge... (answered by josgarithmetic)
A rectangular field is to be divided along its diagonal PR into two plots .If the... (answered by ankor@dixie-net.com)
A city park InThe shape of a rectangle has a Sidewalk around it perimeter. The park... (answered by ikleyn)
a ladder 9m long is placed against a wall 2m away from its base. what is the height... (answered by mananth)
The perimeter of a rectangular field is 300 meters. This field is to be fenced along... (answered by ewatrrr)