A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answer:29.5 yd²Step-by-step explanation:First we find the area of the triangle.The base of the triangle is 5+4 = 9 yd.The height of the triangle is 6+5 = 11 yd.The formula for the area of a triangle is A = 1/2bh; this gives usA = 1/2(9)(11) = 1/2(99) = 49.5 yd²Next we find the area of the rectangle that is removed.  The length of the rectangle is 4 and the width is 5.  The area of a rectangle is given byA = l*w; for our rectangle, we haveA = 4(5) = 20 yd²The shaded region will have an area of49.5 yd² - 20 yd² = 29.5 yd²