Answer:
Option A. 2564 cm²
Explanation:
The given figure can be divided in 4 parts. Three rectangles and two right angle triangles.
Now we will calculate the area of the divided parts.
1) Area of two parallel triangles = 2(area of one triangle) = 2×(1/2)×Base×Height = Base × Height = 10×26 = 260 cm²
2) Area of a rectangle having dimensions 26 cm×36 cm = 26×36 = 936 cm²
3) Area of a rectangle having dimensions 28 cm×36 cm = 28×36 = 1008 cm²
4) Area of small rectangle having dimensions 10 cm× 36 cm = 10×36 = 360 cm²
Now total area of these four parts = 260 + 936 + 1008 + 360 = 2564 cm²
Therefore Option A is the answer.