A rectangular garden covers 16,000 ft2. Its length is 60 ft longer than its width.
What is the width of the garden?
2 answers
100
width --- x
length ----x+60
x(x+60) = 16000
x^2 + 60x = 16000
completing the square is easy here
x^2 + 60x + 900 = 900+16000
(x+30)^2 = 16900
take √
x+30 = 130
x = 100
width is 100 ft, length is 160 ft
length ----x+60
x(x+60) = 16000
x^2 + 60x = 16000
completing the square is easy here
x^2 + 60x + 900 = 900+16000
(x+30)^2 = 16900
take √
x+30 = 130
x = 100
width is 100 ft, length is 160 ft
1 answer