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Questions and Answers
A rectangle has a length of $x + 3$ and a width of $x$. If the perimeter is 26 inches, which equation can be used to correctly solve for $x$?
A rectangle has a length of $x + 3$ and a width of $x$. If the perimeter is 26 inches, which equation can be used to correctly solve for $x$?
- $2x + 2(x+3) = 26$ (correct)
- $4x + 3 = 26$
- $x(x+3) = 26$
- $x + (x+3) = 26$
A rectangular garden has a width of $x$ meters and a length of $x + 3$ meters. If the perimeter of the garden is 26 meters, what is the width ($x$) of the garden?
A rectangular garden has a width of $x$ meters and a length of $x + 3$ meters. If the perimeter of the garden is 26 meters, what is the width ($x$) of the garden?
- 5 meters (correct)
- 6.5 meters
- 10 meters
- 8 meters
A rectangle has a perimeter of 26 inches. If the length is 3 inches more than the width, what is the area of the rectangle?
A rectangle has a perimeter of 26 inches. If the length is 3 inches more than the width, what is the area of the rectangle?
- 16 square inches
- 40 square inches (correct)
- 36 square inches
- 52 square inches
What is value of $x$ if a rectangle, with perimeter 26 inches, has one side with length $x$ and another side with length $x + 3$?
What is value of $x$ if a rectangle, with perimeter 26 inches, has one side with length $x$ and another side with length $x + 3$?
A rectangle's length is represented by $x + 3$ and its width by $x$. If the perimeter of this rectangle is 26, what expression represents its area?
A rectangle's length is represented by $x + 3$ and its width by $x$. If the perimeter of this rectangle is 26, what expression represents its area?
For a rectangle with perimeter of 26 inches, if the width is $x$ inches and the length is $x + 3$ inches, what inequality represents possible values of $x$?
For a rectangle with perimeter of 26 inches, if the width is $x$ inches and the length is $x + 3$ inches, what inequality represents possible values of $x$?
Consider a rectangle with one side measuring $x$ inches and the other $x + 3$ inches. Given the perimeter is 26 inches, if you increase $x$ by 1 inch, by how much does the perimeter increase?
Consider a rectangle with one side measuring $x$ inches and the other $x + 3$ inches. Given the perimeter is 26 inches, if you increase $x$ by 1 inch, by how much does the perimeter increase?
If the perimeter of a rectangle is 26 inches and its sides are $x$ and $x + 3$, what will the perimeter be if both $x$ and $x + 3$ are doubled?
If the perimeter of a rectangle is 26 inches and its sides are $x$ and $x + 3$, what will the perimeter be if both $x$ and $x + 3$ are doubled?
A rectangle has sides of length $x$ and $x + 3$. Given a perimeter of 26 inches, if the rectangle were unfolded into a straight line, how long would that line be?
A rectangle has sides of length $x$ and $x + 3$. Given a perimeter of 26 inches, if the rectangle were unfolded into a straight line, how long would that line be?
A rectangle with a perimeter of 26 has sides $x$ and $x+3$. If a square is constructed with the side length equal to $x$, what is the perimeter of that square?
A rectangle with a perimeter of 26 has sides $x$ and $x+3$. If a square is constructed with the side length equal to $x$, what is the perimeter of that square?
Flashcards
What is the perimeter of a rectangle?
What is the perimeter of a rectangle?
The perimeter of a rectangle is the sum of all its sides. For a rectangle with length (l) and width (w), the perimeter (P) is given by P = 2l + 2w.
What equation do you use to solve for x?
What equation do you use to solve for x?
Given a rectangle with sides x and x+3, and a perimeter of 26 inches, the equation to find x is: 2(x) + 2(x+3) = 26.
How to simplify the equation?
How to simplify the equation?
To solve: 2x + 2(x+3) = 26, first distribute: 2x + 2x + 6 = 26, then combine like terms: 4x + 6 = 26. Subtract 6 from both sides: 4x = 20. Finally, divide by 4.
How to solve for x?
How to solve for x?
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What is the value of x?
What is the value of x?
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Study Notes
Rectangle Perimeter
- The perimeter of a rectangle is 26 inches
- Need to solve for the value of x
- The width of the rectangle is x + 3
- The height of the rectangle is x
Solving for x
- The formula for the perimeter of a rectangle is P = 2w + 2h
- Substituting the values: 26 = 2(x + 3) + 2(x)
- Simplifying the equation: 26 = 2x + 6 + 2x
- Combining like terms: 26 = 4x + 6
- Subtracting 6 from both sides: 20 = 4x
- Dividing by 4: x = 5
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