Sarah is building a set of four shelves each shelf will have two supports in the shape of right isosceles triangle's each shelf is 14 inches deep how many square inches of wood will she need to make all of the supports?

784 in² of wood

Step-by-step explanation:

Sarah  needs two supports by shelf, and  she will build 4 shelves

then she will need 8 supports

Now each support is a  right isosceles triangle.

Area of a triangle is

A(t)  = 1/2 *b*h      where  b is the base and h is the heigh of the triangle.

A right isosceles triangle has two sides ( base and heigh equals) and in our particular case are equals to 14 in, therefore

A(t)  = 1/2*14*14

A(t)  =  98 in²

Sarah needs 8 pieces of 98 in² she needs

A =  8*98

A  = 784 in² of wood