Jess just purchased a new dining table with two extension leaf inserts. She wants to make sure there

Question

will be enough seating when she has company. If the dining table measures 42 in by 86 in and each
of the two extension leafs measures 42 in by 18 in , what is the total area of the dining table with both
extensions in?

Answer 1

To find the total area of the dining table with both extension leaf inserts, we first need to calculate the area of the main table and then add the area of the extension leaves.

1. Calculate the area of the main table:

   • The dimensions of the main table are 42 inches by 86 inches.
   • Area of the main table = length × width = \( 42 , \text{in} \times 86 , \text{in} \).

   \[ \text{Area of main table} = 42 \times 86 = 3612 , \text{square inches} \]

2. Calculate the area of one extension leaf:

   • Each extension leaf measures 42 inches by 18 inches.
   • Area of one extension leaf = length × width = \( 42 , \text{in} \times 18 , \text{in} \).

   \[ \text{Area of one extension leaf} = 42 \times 18 = 756 , \text{square inches} \]

3. Calculate the area of both extension leaves:

   • Since there are two extension leaves, we multiply the area of one leaf by 2.

   \[ \text{Area of both extension leaves} = 2 \times 756 = 1512 , \text{square inches} \]

4. Calculate the total area of the dining table with both extensions:

   • Total area = Area of the main table + Area of both extension leaves.

   \[ \text{Total area} = 3612 + 1512 = 5124 , \text{square inches} \]

Thus, the total area of the dining table with both extensions in is 5124 square inches.