Answer:
(d) 68 m²
Step-by-step explanation:
The figure can be decomposed into two congruent trapezoids, each with bases of 12 m and 5 m, and height 4 m. The formula for the area of a trapezoid can be used.
__
A = 1/2(b1 +b2)h . . . . . area of one trapezoid with bases b2, b2; height h
A = 1/2(12 m +5 m)(4 m) = 34 m²
The area of the hexagon is double this:
hexagon area = 2 × 34 m² = 68 m².
