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

**Problem**

**Problem**

The figure ABCD is a parallelogram. Find the perimeter of ABCD.

AB =

BC =

DC =

AD =

- 22
- 48
- 53
- 59
- 32

**The Usual Method**

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Since ABCD is a parallelogram, AB = DC and AD = BC.

= and =

and

Solving these two equations simultaneously, we get:

*x* = 3.5 and *y* = 2

Hence, AB = DC = 2(3.5) + 2(2) + 7 = 18 and,

AD = BC = 3.5 + 4(2) = 11.5

Hence, total perimeter = 2 (18 + 11.5) = 59

** **

**(Ans: 4)**

*Estimated Time to arrive at the answer = 75 seconds.*

**Using Technique**

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The perimeter of parallelogram ABCD = sum of length of all sides

= + + +

=

Now, from the options, just subtract 14. This will give us the value of , which is a multiple of 5 .

Hence, that option which is a multiple of 5 after subtracting 14 from it should be the answer.

22 – 14 = 8 (Not a multiple of 5 and so it is not the correct answer)

48 – 14 = 34 (Not a multiple of 5 and so it is not the correct answer)

53 – 14 = 39 (Not a multiple of 5 and so it is not the correct answer)

59 – 14 = 45 (Is a multiple of 5 and so it is the correct answer)

32 – 14 = 18 (Not a multiple of 5 and so it is not the correct answer)

**(Ans: 4)**

*Estimated Time to arrive at the answer = 15 seconds.*

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