Ellie and Heather drew floor models of their living rooms. Ellie's model represented 20 feet by 15 feet. Heather's model represented 18 feet by 18 feet. Whose floor model represents the greater area? How much greater?
Heather's Model since A = 18 * 18 = 324
Ellie's A = 20 * 15 = 300
So Heather's model is 24 feet bigger.
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Area = length times width
A = 20 * 15
A = 18 * 18
To determine whose floor model represents the greater area, we need to calculate the area of each floor model.
To find the area of a rectangle, we multiply its length by its width.
For Ellie's floor model with dimensions 20 feet by 15 feet:
Area = Length * Width = 20 feet * 15 feet = 300 square feet.
For Heather's floor model with dimensions 18 feet by 18 feet:
Area = Length * Width = 18 feet * 18 feet = 324 square feet.
Comparing the two area values, we see that Heather's floor model represents the greater area, with an area of 324 square feet.
To determine how much greater her floor model is, we calculate the difference between the two areas:
Difference = Heather's Area - Ellie's Area = 324 square feet - 300 square feet = 24 square feet.
Therefore, Heather's floor model represents an area that is 24 square feet greater than Ellie's floor model.