It costs a family $348.00 to buy a 10ft by 11ft rug. if the cost is proportional to the area what will it cost the family to buy a 15ft by 16ft rug

First we need to find the cost per square foot for the first rug:

Total square feet of first rug =  10 ft x 11 ft = 110 square feet.

 Divide total price by total square feet to get the price per square foot: 

$348.00 / 110 = $3.164 per square foot

The total square feet of the larger rug:

15 x 16 = 240 square feet

Multiply the total square feet by price per square feet:

240 * $3.164 = $759.36

Depending on how the cost per square foot is rounded the new price may vary a little bit.

11/2.2 = 5 inches for the length 8.5/2.2= 3.86 inches for the width