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# Did You Find Out? Get the Answer to the Riddle of E-News Issue No. 3, July 2023

2023-07-19

## How Can I Increase the Size of My Patio?

How to increase the size of the terrace?

A man owns a square shaped patio with an area of 64 square meters. At each corner there is an antique lantern.

Since he likes to spend time on it, he wants to increase the size of his patio. However, it should keep its square shape and no lantern should be rebuilt or removed. Since this is where the sunlight lasts the longest, he also does not want to build the patio elsewhere in his yard. The center of the patio should still be the same distance from all the lanterns. What is the maximum area he can extend the patio to in this way?

## Solution

The area of the patio can be increased to a maximum of 128 square meters if the center is still to be exactly the same distance from the lanterns. If the patio is divided diagonally twice, a triangle can be added to the straight side.

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