Problema Solution
An ecology center wants to set up a garden, they have 349 meters of fencing to enclose a rectangular area of 6600 square meters. Find length and width as follows.
A) let x= the length and write expression for width.
B)write equation relating the width, length and area using result of part (A)( do not simplify)
C)solve problem
Answer provided by our tutors
x = the length, x>0
y = the width, y>0
they have 349 meters of fencing to enclose a rectangular area of 6600 square meters
2(x + y) = 349
y = 349/2 - x
the area is 6600 square meters:
xy = 6600
plug y = 349/2 - x into xy = 6600
x(349/2 - x) = 6600
by solving we find:
x = 55.43 m
click here to see the step by step solution of the equation:
y = 349/2 - 55.43
y = 119.07 m
the length of the garden is 119.07 meters.
the width of the garden is 55.43 meters.