Here’s and example of a **SMART MATH** problem for **GEOMETRY.**

**Problem**

**Problem**

A circular lawn of 98 meters is surrounded by a path of 14 meters wide. What is the area of the path in meters^{2}?

- 9420
- 9184
- 9240
- 9835
- 9583

**The Usual Method:**

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The two edges of the path makes concentric circles, one with a radius of 98 meters and another with a radius of 98 + 14 = 112 meters.

Hence area of path =

= 44 x 210 = 9240 meters^{2}

** **

**(Ans: 3)**

*Estimated Time to arrive at the answer = 45 seconds.*

**Using Technique**

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Observe that both 98 and 14 are multiples of 7 and when multiplied by , will have in the numerator a number which is a multiple of 11 ( 22 is in the numerator of the value of ). Only option ‘3’ is a multiple of 11 and hence it is the answer.

**(Ans: 3)**

*Estimated Time to arrive at the answer = 5 seconds.*

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