Leslie wants to build a 1,200 piece jigsaw puzzle. The completed puzzle will be in the shape of a rectangle that is 40 pieces in length by 30 pieces in width. Each piece is a square with an area of 0.25 in2. If Leslie wants to build the puzzle on a table that is at least 6 inches larger on all four sides than the complete puzzle, so that it makes a 6-inch border around the puzzle, what are the minimum dimensions of the table that she will need?

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Step-by-step explanation:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: