The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
5 : 16
Step 1: Find the side of the square.
Since **Area of Square = Side × Side**,
Side = \( \sqrt{4096} = 64 \) cm.
Step 2: Find the length and breadth of the rectangle.
Length = **2 × Side** = **2 × 64** = **128 cm**.
Breadth = **Side - 24** = **64 - 24** = **40 cm**.
Step 3: Find the ratio of breadth to length.
Ratio = **40 : 128** = **5 : 16**.
Thus, the correct answer is **"5 : 16."**
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