45.6k views
5 votes
Jason wants to build a rectangular flower pot with length 2 and width x+1 , in feet. He records the expression 2(x+1) to represent a measurement for his flower pot. Assuming Jason writes the expression correctly, what measurement could the expression represent?

A. the area of the flower pot
B. the perimeter of the flower pot
C. the portion of the area of the flower pot representing the width of the flower pot
D. the portion of the perimeter of the flower pot representing the width of the flower pot

User Will Byrne
by
7.0k points

1 Answer

2 votes

Final answer:

The expression 2(x+1) represents the portion of the perimeter of the flower pot that accounts for twice the width, but it does not constitute the complete perimeter calculation. Therefore, the correct answer is Option B.

Step-by-step explanation:

Jason has written the expression 2(x+1) to represent a measurement for his rectangular flower pot with a length of 2 feet and a width of x+1 feet. This expression can be used to calculate the perimeter of the flower pot. The perimeter is the total distance around the outside of a rectangle, which is calculated by adding the lengths of all four sides. Since the flower pot is rectangular, the formula for its perimeter P would be P = 2(l + w), where l is the length and w is the width. For Jason's flower pot, the length l is 2 feet and the width w is x + 1 feet. Plugging these values into the formula, we get P = 2(2 + (x + 1)) which simplifies to 2(x + 1) + 4. The expression Jason wrote does not include the + 4, so it represents only twice the width of the pot, which is part of the total perimeter. Therefore, the correct answer is D: the portion of the perimeter of the flower pot representing the width of the flower pot.

User PintoDoido
by
6.8k points