The Image shows a quadrilateral with 10 inches on the Top 8 inches inside
And 14 inches on the side
What is the area of the quadrilateral?
(1 point)
Responses
112 in.2
112 in. squared
80 in.2
80 in. squared
102 in.2
102 in. squared
The area of the quadrilateral can be calculated by dividing it into two triangles and one rectangle.
The area of the first triangle:
Base = 10 inches
Height (inside) = 8 inches
Area = 1/2 * Base * Height = 1/2 * 10 * 8 = 40 square inches
The area of the rectangle:
Length = 10 inches
Width = 14 inches
Area = Length * Width = 10 * 14 = 140 square inches
The area of the second triangle:
Base = 14 inches (side)
Height = 8 inches
Area = 1/2 * Base * Height = 1/2 * 14 * 8 = 56 square inches
Total area = Area of first triangle + Area of rectangle + Area of second triangle
Total area = 40 + 140 + 56 = 236 square inches
Therefore, the area of the quadrilateral is 236 square inches (102 in. squared).