Question 249126
ratio of length to width is 3/5
p = 78
2*L + 2*W = 78


L/W = 3/5
cross multiply to get 3W = 5L
divide both sides by 3 to get:
W = 5L/3


substitute for W in perimeter equation to get:
2*L + 2*(5*L/3) = 78
simplify by removing parentheses to get:
2*L + 10*L/3 = 78
multiply both sides of equation by 3 to get:
3*2*L + 10*L = 78*3
simplify to get:
6*L + 10*L = 234
combine like terms to get:
16*L = 234
divide both sides by 16 to get:
L = 234/16 = 14.625
W = 5*L/3 = 5*14.625/3 = 24.375


you have:
L = 14.625
W = 24.375


L/W = 3/5 = .6


L/W = 14.625/24.375 = 3/5 after you divide both numerator and denominator by 4.875


ratio is good.


perimeter is equal to:


2*L + 2*W which becomes:


2*14.625 + 2*24.375 = 29.25 + 48.75 = 78


perimeter is good.


your answer is:


length = 14.625 yards
width = 24.375 yards