Question

Some students are asked to measure the rooms in a building.

a. Student A measures Room 1 to be 66.6 ft.* 40.18 ft, what is its area?
b. Student B measures Room 2 to be 5.95 m * 5.5 m, what is its area?
c. What is the total area of both rooms in mº)? (1 m = 3.28084 ft)

Answer 1

The area of Room 1 measured by Student A is 2675.988 ft², which is approximately 248.6 m² after conversion. Room 2, measured by Student B, has an area of 32.725 m². The total combined area of both rooms is about 281.325 m².

Step-by-step explanation:

To calculate the area of Room 1 which Student A measured as 66.6 ft by 40.18 ft, we use the formula for the area of a rectangle (A = length × width). So, A = 66.6 ft × 40.18 ft, which gives an area of 2675.988 ft².

Student B measured Room 2 to be 5.95 m by 5.5 m. Using the same formula, the area for Room 2 is A = 5.95 m × 5.5 m, resulting in an area of 32.725 m².

Now, we need to sum up both areas in the same units. First, we convert the area of Room 1 from square feet to square meters using the conversion factor (1 m² = 3.28084 ft × 3.28084 ft). Thus, 2675.988 ft² × (1 m² / 3.28084 ft) × (1 m² / 3.28084 ft) gives approximately 248.6 m². Adding the areas of both rooms, the total area is approximately 248.6 m² + 32.725 m², which equals 281.325 m².