Answer:
B. 343 cm²
Step-by-step explanation:
The question requires we get the area of the pentagon given;
We are given the dimensions; 14 cm, 21 cm and 28 cm
To get the area of the pentagon;
we divide the pentagon into a rectangle and a triangle, then get the area of each.
Area of a rectangle = L × W
Therefore, in this case;
Area of the rectangle 14 cm by 21 cm
= 14 cm × 21 cm
= 294 cm²
Area of a triangle = 0.5× b× h
In this case;
Base, b = 14 cm and Height, h = 28 cm - 21 cm = 7 cm
Thus;
Area of the triangle = 0.5 × 14 cm × 7 cm
= 49 cm²
Therefore;
The area of the pentagon = 294 cm² + 49 cm²
= 343 cm²
Thus, the area of the pentagon below is 343 cm²
