Problema Solution
a yard has a perimeter of 350 feet. if eight times the length of the yard equals seventeen times the width, what are its dimensions?
Answer provided by our tutors
We will assume that the yard is rectangular.
Let
x = the width
y = the length
8y = 7x
Since the perimeter is 350 ft we have:
2(x + y) = 350 divide both sides by 2
x + y = 175
We have the following system of equations:
8y = 7x
x + y = 175
........
click here to see the system of equations solved for x and y
........
x = 93.33 ft
y = 81.67 ft
The dimensions of the yard are 93.33 ft and 81.67 ft.