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### Question

The diagonal and one side of a rectangle are 5 m and 3 m. What is the percentage saving of a man who walks along the diagonal instead of the two sides?

**A**

$28{4/7}$%.

**B**

$34{1/2}$%.

**C**

$21{4/9}$%.

**D**

$24{5/9}$%.

**Soln.**

**Ans: a**

The side = $√{5^2 - 3^2}$ = $√{25 - 9}$ = 4. So the saving = (3 + 4) - 5 = 2 meters. So the %-age saving is $2/7$ × 100 = ${200/7}$, which is same as: $28{4/7}$%.