The expression for the area of a rectangle is (4x^2+8x) square units. Find an expression for it's width if the length is (x+2) units.
Question
The expression for the area of a rectangle is (4x^2+8x) square units. Find an expression for it's width if the length is (x+2) units.
Solution
The area of a rectangle is given by the formula:
Area = Length * Width
We know that the area is (4x^2 + 8x) and the length is (x + 2). We can find the width by rearranging the formula to solve for width:
Width = Area / Length
Substitute the given expressions into the formula:
Width = (4x^2 + 8x) / (x + 2)
This simplifies to:
Width = 4x
So, the expression for the width of the rectangle is 4x units.
Similar Questions
Calculate the area of the rectangle shown.HINT: The formula for the area of a rectangle is length × width.View Image Description18 units squared20 units squared12 units squared15 units squared
The width of a rectangle is 2 feet longer than four times its length, and its area is 42.The length of the rectangle is feet and the width is feet.Check AnswerQuestion 6
The length of a rectangle is 20 units more than its width. The area of the rectangle is x4 - 100.Which statement about the width of the rectangle is true?x2 – 10 because the area expression can be rewritten as (x2 – 10)( x2 + 10) which equals (x2 – 10)((x2 – 10) + 20).x2 + 10 because the area expression can be rewritten as (x2 + 10)( x2 – 10) which equals (x2 + 10)((x2 + 10) – 20).x2 – 30 because the area expression can be rewritten as (x2 + 10)( x2 – 10) which equals (x2 + 10)((x2 – 30) + 20).x2 + 30 because the area expression can be rewritten as (x2 – 10)( x2 + 10) which equals (x2 – 10)((x2 + 30) – 20).
A rectangle's length and width are in a ratio of 8:3. The area is 384 square millimeters. What are the length and width?length = millimeterswidth = millimetersSubmit
The perimeter of a rectangle is units. Its width is units.Write an equation to determine the length of the rectangle.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.