Matlab

3) A round billboard with radius R - 55 in. is designed to have a rectangular picture placed. inside a rectangle with sides a and b. The mar- 10 1n gins between the rectangle and the picture are 10 in. at the top and bottom and 4 in. at each side. Write a MATLAB program that deter mines the dimensions a and b such that the overall area of the picture will be as large as possible. In the program define a vector a with values ranging from 5 to 100 with increments 41m of 0.25. Use this vector for calculating the corresponding values of b and the overall area of the picture. Then use MATLAB's built-in function max to find the dimensions of the largest rectangle. Picture