Length x is 8 in, y is 6 in, area of the rectangle, trapezoid and figure are 48 in², 72 in² and 120 in² respectively.
Explanation:
Find length x.
⇒ x = 8 in (∵ opposite sides of a rectangle are equal)
Find length y.
⇒ y = 12 - 6 = 6 in
Find the area of the rectangle with length = 8 in and width = 6 in
⇒ Area = length × width = 8 × 6 = 48 in²
Find area of the trapezoid with height = 6 in
⇒ Area of trapezoid = 1/2 (sum of parallel sides) × height
= 1/2 (16 + 8) × 6
= 1/2 × 24 × 6 = 72 in²
Find the area of the figure.
⇒ Area of the figure = area of the rectangle + area of the trapezoid
= 48 + 72 = 120 in²