For an arts and crafts project, a student cut a triangle out of a rectangular piece of paper. if the triangle has a base of 6 inches and a height of 8 inches, and the rectangle has a length of 11 inches and a width of 12 inches, what is the area of the leftover paper after the triangle is cut out?

You can find this by subtracting the are of the triangle from the area of the rectangle.

The area of the rectangle can be found using the formula l x w.

l x w   Replace the l and w with the length and width of the rectangle
11 x 12   Multiply
132 in.²

The area of the triangle can be found with 1/2 (B x h).

1/2 (b x h)   Plug in the base and height of the triangle
1/2 (6 x 8)   Multiply 6 and 8
1/2 (48)   Find 1/2 of 48
24 in.²

Now, subtract the are of the triangle (48) from the area of the rectangle (132).

132 - 48   Subtract
84 in.²

The are of the leftover paper is 84 inches².

45x is the correct answer