Respuesta :
Answer:
Part 1 : [tex]w^2+4w-60=0[/tex]
Part 2 :
w=6
l = 10
Step-by-step explanation:
Part 1:
Let the width of the rectangle = w
Length of the rectangle = w + 4
Area of the rectangle is given as
60 Sq Yrds
[tex]60=w(w+4)[/tex]
[tex]60=w^2+4w[/tex]
[tex]w^2+4w-60=0[/tex]
Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.
Part 2:
(w+10)(w-6)= 0
either (w+10) = 0
or
(w-6)=0
or both are zero
(w+10) = 0 ⇒ w = -10
not possible as the dimension can not be 0
(w-6)=0 ⇒ w=6
Hence the width is 6 yards
And thus the length will be 6+4 = 10 yards
Answer: For the first one the answer is A and for the second one is C and the last one is 10 yards.
Step-by-step explanation:Good Luck!