Verified Answer :

  1. find the area of the two triangles, including the shaded section. the formula for this is a=1/2bh

    the height and base are both 24 inches. this is because you add the 10 from the side of the square to the 14 that is given

    so:

    a=1/2(24)(24)
    a=(12)(24)
    a=288 sq. inches

    since there are two triangles, you would multiply the area by 2

    a=2(288)
    a=576 sq. inches

    now, since you only need the unshaded section, you have to take away the shaded section, which is a square. to do this, you must calculate the area of the square and take it away from the area of both triangles.

    a=576-(lw)
    a=576- (10)(10)
    a=576-100
    a=476 sq. inches

    that is your answer