Question

The perimeter of one square is 748cm and that of another is 336cm. Find the perimeter and the diagonal of square which is equal in area of these two.

Answer 1

Perimeter of square 1 :  4 * a = 748 cm
    side of square 1:    a = 187cm
     area of square 1:    a² = 187² cm²

Perimeter of square 2:  4 * b  = 336 cm
   side of square 2:    b = 84 cm
   area of square 2:   b² = 84² cm²

Sum of areas of both = 42025 cm²
    size of side of a square with this area = √42025 = 205 cm
      perimeter of this square = 4 * 2015 = 820 cm
       Diagonal of this square = √2 * side = 205 √2 cm