Answer:
Step-by-step explanation:
here is your answer
Calculation steps:
the length of a rectangle is 4 feet more than its width. The area of the rectangle is 60ft^2. Find the length and width of the r
ectangle.
1 answer:
Answer:
10 and 6
Step-by-step explanation:
Let A be the area of the rectangle, w the width and L the length
● A = w*L
The length is 4 feet more that the width so L = w+4
● A = w ×(w+4)
● A = w^2 + 4w
The area is 60 ft^2
● w^2 + 4w = 60
Substract 60 from both sides
● w^2 + 4w - 60 = 0
This a quadratic equation
We will solve it by graphing it
The solution are 6 and -10 since the graph intersect with the x-axis in those points (pictures below)
The width is 6 feet long since it is a distance and a distance is always positive.
● w = 6
● L = w + 4
● L = 6 + 4
● L = 10
The width is 6 feet and the length is 10 feet
You might be interested in
Answer:
Step-by-step explanation:
Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.