Answer: the total area is 26 in^2, which is option B
Step-by-step explanation:
ok you have to find the area of the rectangle to the left of the line and then the area of the right triangle and add them together to get the total area
so for the area of the rectangle it would be
a = Lw
a = 4 * 5 = 20 in^2
now to find the area of the triangle we first subtract 5 from 8 to see the lenght of the segment from the vertical line to the vertex of the triangle
8 - 5 = 3
so the segment is 3 inches long
the formula for the area of a triangle is (1/2)bh
(1/2)(3)(4) = 1/2 (12) = 6
so the area of the triangle is 6 in^2
now lets add the area of the rectanglke and the area of the triangle together to find the total area
20 in^2 + 6 in^2 = 26 in^2
the total area is 26 in^2, which is option B
