Answer :
Final answer:
To find the grazed area, calculate the triangle area and subtract sector areas. The result is 98.5 sq m. Therefore, option a) 98.5 sq m is the correct answer.
Explanation:
To find the area of the plot that can be grazed by the horses, we first need to determine the area of the triangle formed by the sides of the field. Using Heron's formula for the triangle with sides 20m, 34m, and 42m, we calculate the area to be 288 square meters. Next, we find the area that can be grazed by the horses which is 98.5 square meters by subtracting the areas of three sectors of circles centered at each vertex with radius 7m.
