The length of the rectangle is 10 yards and the width is 6 yards.
Given
The length of a rectangle is 4 more than the width.
The area of the rectangle is 60 square yards.
The area of the rectangle is given by the following formula;
[tex]\rm Area \ of \ the \ rectangle = Width \times Length[/tex]
Let the length of the rectangle be (w+4).
And the width of the rectangle is w.
Then,
The width of the rectangle is;
[tex]\rm Area \ of \ the \ rectangle = Width \times Length\\\\60 = w \times (w+4)\\\\60 = w^2+4w\\\\w^2+4w-60=0\\\\w^2+10w-6w-60=0\\\\w(w+10)-6(w+10)=0\\\\(w+10)(w-6)=0\\\\w+10=0\ \ w=-10\\\\w-6=0 \ \ w=6[/tex]
The width can not be negative so the width of the rectangle is 6.
Therefore
The length of the rectangle is;
Length = w+4 = 6+4 =10
Hence, the length of the rectangle is 10 yards and the width is 6 yards.
To know more about the area of the rectangle click the link given below.
https://brainly.com/question/14383947
Answer:
1, 3, 10 yards
Step-by-step explanation:
Which equation represents the situation?
w (4 + w) = 60
Using the zero product property, the equation is
(w + 10)(w - 6) = 0
What is the length of the rectangle?
10 yards
