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?

Respuesta :

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.