The standard size of a rectangular placemat is 14 inches by 16 inches. How much fabric is needed to make 6 standard placemats?

A. 90 in[tex]\(^2\)[/tex]

B. 224 in[tex]\(^2\)[/tex]

C. 672 in[tex]\(^2\)[/tex]

D. 1,344 in[tex]\(^2\)[/tex]



Answer :

To find out how much fabric is needed to make 6 standard placemats, we need to calculate the area of one placemat and then multiply that by the number of placemats. Here’s a step-by-step solution:

1. Determine the dimensions of one standard placemat:
- Length = 14 inches
- Width = 16 inches

2. Calculate the area of one placemat:
- Area of one placemat = Length × Width
- Area of one placemat = 14 inches × 16 inches
- Area of one placemat = 224 square inches

3. Number of placemats:
- We are making 6 placemats.

4. Calculate the total fabric needed:
- Total fabric = Area of one placemat × Number of placemats
- Total fabric = 224 square inches × 6
- Total fabric = 1344 square inches

Therefore, the answer is that the total fabric needed to make 6 standard placemats is 1344 square inches. This matches the given numerical result.