If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.
1 answer:
Answer:
The width of a rectangle is: w = x+3
Step-by-step explanation:
Given
The length of rectangle = l = 4x
The area of rectangle = A = 4x² + 12x
To determine
The width of rectangle = w = ?
We know that the formula of the area of the rectangle is
substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle
4x² + 12x = w×4x
w = [4x² + 12x] / [4x]
Factor 4x² + 12x: 4x(x+3)
w = [ 4x(x+3) ] / [4x]
w = x+3
Therefore, the width of a rectangle is: w = x+3
You might be interested in
Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals,
Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.
Unknown:
Number of people attending Lollapalooza and Bonnaroo.
Let the number of people attending Bonnaroo be .
Therefore, the number of people attending Lollapalooza is equal to
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,
Substitute and Solve:
Now, we have, .
Substitute 81000 for and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo =
Number of people attending Lollapalooza =
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.