Question

The length of a rectangle is 4 more than the width. The area of the rectangle is 60 square yards. What is the length of the rectangle? rectangle equals length Let w = width and 4 + w = length. Which equation represents the situation?

Answer 1

Length=4+width
area=(length)*(width)
60=(length)*(width)
60=(w)(4+w)
60=4w+w^2
0=w^2+4w-60
(-4+(4^2-4(1)(-60))^(1/2))/(2(1))
(-4+(256)^(1/2))/(2)
(-4+16)/2
w=6
l=4+6
l=10

Answer 2

Answer:

10 yards

Step-by-step explanation:

Given : The length of a rectangle is 4 more than the width.

            The area of the rectangle is 60 square yards.

To Find: What is the length of the rectangle?

Solution:

Let the width be w

Since we are given that the length of a rectangle is 4 more than the width.

So, Length =w+4

Area of rectangle = $Length \times Breadth$

Area of rectangle = $(w+4)\times w$

Since we are given that  area of the rectangle is 60 square yards.

So, $60=(w+4)\times w$

$60=w^2+4w$

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

$(w-6)(w+10)=0$

$w=6,-10$

Since width cannot be negative

So, Width of rectangle is 6 yards

The length of the rectangle = w+4= 6+4=10 yards

Hence the length of the rectangle is 10 yards.