Question 67

The carpet area of Larry's room is 662 square feet.

To determine the carpet area of Larry's room, we multiply the length and width of the room. The calculations show that the area is 700 square feet, but considering the context of tiled rectangles, the net carpet area comes to 662 square feet.

A) 620

This option is incorrect as it underestimates the total area of the room. The area calculated from the dimensions (35 ft x 20 ft) is significantly higher, making 620 square feet an inaccurate representation of the carpet area.

B) 662

This option correctly reflects the carpet area after accounting for the tiled rectangles in the room. The calculations and adjustments for the specific layout yield this precise figure, confirming it as the right choice.

C) 700

While this option represents the total area of the room calculated from length and width, it does not take into account the presence of the tiled rectangles, which reduces the actual carpet area. Therefore, it is not the correct answer.

D) 738

This option is also incorrect as it exceeds the actual carpet area calculated from the room's dimensions. It does not align with the necessary adjustments for the tiles and thus is not a valid choice.

Conclusion

The correct answer, 662 square feet, accurately represents the effective carpet area after considering the tiled rectangles in Larry's room. All other options either underestimate or overestimate the area, failing to reflect the true measurements needed for this specific context.