A one-story building is 370 ft by 290 ft. If a square patio with sides 27 ft occupies the center of the building, how much area remains for offices?
(370 * 290) - 27^2 = ?
27^2 = 27 squared.
To find out the remaining area for offices, we need to calculate the total area of the building and then subtract the area of the patio.
Step 1: Calculate the total area of the building.
The building is one-story, and its dimensions are given as 370 ft by 290 ft. To find the area, we need to multiply the length by the width:
Area of building = Length × Width
Area of building = 370 ft × 290 ft
Step 2: Calculate the area of the patio.
The patio is square with sides measuring 27 ft. To find the area of a square, we square the length of one side:
Area of patio = Side length × Side length
Area of patio = 27 ft × 27 ft
Step 3: Calculate the remaining area for offices.
To find the remaining area, we subtract the area of the patio from the total area of the building:
Remaining area for offices = Area of building - Area of patio
Now, let's calculate the areas:
Area of building = 370 ft × 290 ft = 107,300 square feet
Area of patio = 27 ft × 27 ft = 729 square feet
Remaining area for offices = 107,300 square feet - 729 square feet
Therefore, the remaining area for offices is 106,571 square feet.