Solve this problem using estimation by rounding each length to the nearest foot.

Ramona is ordering carpet for a room that is 19.5 feet by 41.6 feet. The carpet is $9.50 per square foot. About how many square feet of carpet will Ramona need to order to make sure she can cover the entire room?

Type the correct answer rounded to the nearest hundred.



Answer :

To solve this problem, we'll use estimation and rounding to simplify the dimensions of the room before calculating the total area.

1. Estimate the dimensions to the nearest foot:
- The length of the room is 19.5 feet. Rounding 19.5 to the nearest foot, we get 20 feet.
- The width of the room is 41.6 feet. Rounding 41.6 to the nearest foot, we get 42 feet.

2. Calculate the area of the room using the rounded dimensions:
- Length (rounded) = 20 feet
- Width (rounded) = 42 feet
- Area = Length × Width = 20 feet × 42 feet = 840 square feet

So, Ramona will need to order about 840 square feet of carpet to cover the entire room.