Please show me how to work this problem:
Fran makes a rectangular tablecloth that has an area of 5 ft squared. Her mother makes a tablecloth that is three times the length and three times the width of Fran's. What is the area, in square feet, of her mother's tablecloth?
Think about it.
the current dimensions are x and y and xy=5
The new dimensions are 3x and 3y and the area is (3x)(3y) = 9xy = 9(xy) = 9 times the original area.
To find the area of Fran's tablecloth, you need to know the length and width of the tablecloth.
Let's say the length of Fran's tablecloth is 'L' feet and the width is 'W' feet.
Given that the area of Fran's tablecloth is 5 square feet, we can write the equation:
L * W = 5
Now let's move on to finding the dimensions of her mother's tablecloth.
It is mentioned that her mother's tablecloth has three times the length and three times the width of Fran's tablecloth. So, the length of her mother's tablecloth will be 3L feet, and the width will be 3W feet.
To find the area of her mother's tablecloth, multiply the length (3L) by the width (3W):
Area of her mother's tablecloth = 3L * 3W = 9 * L * W
Since we know that L * W = 5, substituting this value into the equation above:
Area of her mother's tablecloth = 9 * 5 = 45 square feet
Therefore, the area of her mother's tablecloth is 45 square feet.