Alan's room has an area of 18 square feet. He is planning to buy another rug twice as long and twice as wide.What is the area of the new rug?
Room dimensions: 3 by 6 = 18 sq. feet
New rug: 6 by 12
What is its area?
72
it is 72
6x12=the area
72
Yes, that's correct! The area of the new rug would be 72 square feet.
To find the area of the new rug, we need to determine its dimensions. Since Alan's room has an area of 18 square feet and the new rug is twice as long and twice as wide, we can set up the following equation:
Let x be the length of the original rug.
Let y be the width of the original rug.
The area of the original rug is x * y = 18.
Now, since the new rug is twice as long and twice as wide, we can express its length and width as 2x and 2y, respectively.
Thus, the area of the new rug is (2x)(2y) = 4xy.
To find the area of the new rug, we need to know the values of x and y.
Since we only have an equation for x * y, we have an infinite number of possibilities for x and y that would satisfy the equation. In other words, there are multiple combinations of x and y values that would give an area of 18 square feet, and without knowing the specific values, we cannot determine the exact area of the new rug.
Therefore, the area of the new rug cannot be calculated based on the given information alone.