John takes a short cut on his walk home from basketball practice each day. There is a rectangular field that is 72 meters long and 30 meters wide. Instead of walking along the two sides of the field, John walks diagonally across the field.
How much shorter is John's walk?
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Given - Length and breadth of rectangular field : 72 metre and 30 metre respectively.
Find - Amount of walk gets shorter if he walks diagonally to reach home.
Solution - Firstly calculating the length of diagonal of given rectangular field. It will be calculated by the formula - ✓ (length² + breadth²).
Keeping the values in equation-
Diagonal = ✓ (72² + 30²)
Diagonal = ✓ (5184+900)
Diagonal = ✓6084
Diagonal = 78 metres.
Now, if John takes diagonal path, the distance he has to take is 78 metres.
If he walks on the two sides, the distance he has to take is 72 + 30 = 102.
The walk will get shorter by = 102 - 78 = 24 metres.
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