Question

Let w=width and 4 + w=

Answer 1

Answer:

Part 1 : $w^2+4w-60=0$

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

$60=w(w+4)$

$60=w^2+4w$

$w^2+4w-60=0$

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