Route passes trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3 and the length of the longer base to the length of the path is in the ratio 5:6. How many square meters occupies the route if the entire acreage is 5400 square meters?

Correct answer:

S =  72 m2

Step-by-step explanation:

S=0.8h  5400=2a+ch a=5x c=3x h=6x 5400=25x+3x6x 10800=48x2 225=x2 x=15 a=75 m b=45 m h=90 m S=0.890=72 m2 

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Check out our ratio calculator.
Do you want to convert length units?

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: