a rectangle shape doctor's office has an area of 120 feet. what are the dimensions of this office space?
10 by 12
or
8 by 15
or
6 by 20
they are coorect
To find the dimensions of the rectangle-shaped doctor's office, we need to use the formula for the area of a rectangle, which is:
Area = Length × Width
Given that the area is 120 square feet, we need to determine two numbers that multiply together to give us 120.
Start by factoring the number 120 into its prime factors:
120 = 2 × 2 × 2 × 3 × 5
Now, we need to group these factors in pairs to find the dimensions. Let's assign 2 groups of 2, one group of 3, and no groups of 5 in order to keep the dimensions as close to a square as possible. This will yield the largest possible dimensions for the given area.
First group: 2 × 2 = 4
Second group: 2 × 2 = 4
Third group: 3
So, the dimensions of the doctor's office space are 4 feet by 4 feet by 3 feet.