Answer:
90 cm
Step-by-step explanation:
Let the side of the square be S
Area of the square = S² = 64
So, S = √64 = 8 cm
Let L be the length of the rectangle and B be the breadth
We know B = S = 8
Area of rectangle = BL = 8L
Total area = Area of square + area of rectangle
Total area = 64 + 8L = 232 (given)
Subtracting 64 from both sides yields
8L = 232-64 = 168 or L = 168/8 = 21
Perimeter of square = 4S = 4 x 8 = 32
Perimeter of rectangle = 2(B + L) = 2(8 + 21) = 2 x 29 = 58
Total perimeter = 32 + 58 = 90 cm
