Answer:
width = 6 yards
length = 7 yards
Step-by-step explanation:
Area of a rectangle = length x width
width = w
length = 3w - 11
w x (3w - 11) = 42
3w² - 11w = 42
3w² - 11w - 42 = 0
this is a quadratic equation :
Determine factors of (3w² x -42) -126w² that add up to -11w
these factors are -18w and +7w
3w² - 18w +7w - 42 = 0
3w(w - 6) + 7(w - 6)
(3w + 7) (w - 6)
w = 6
or
3w + 7 = 0
w = -7/3
since the width cannot be negative, the width would be 6 yards
length = 3w - 11
3(6) - 11
18 - 11 = 7
