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In a painting competition of school child Indian national flag whose perimeter was 50 cm its area will be decreased by 6 square CM if length is decreased by 3 cm the breath is increased by 2 cm then find the dimension of the flag?
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In a painting competition of school child Indian national flag whose p...
Given Information:
- Perimeter of the Indian national flag = 50 cm
- Decrease in area when length is decreased by 3 cm and breadth increased by 2 cm = 6 sq cm

Let's assume:
- Original length of the flag = L cm
- Original breadth of the flag = B cm

Calculations:
- Perimeter of a rectangle = 2(L + B)
- Given, 2(L + B) = 50 cm
- L + B = 25 cm
- Area of a rectangle = L * B
- Given, original area - decreased area = 6 sq cm
- L * B - (L-3)(B+2) = 6
- L * B - LB + 2L - 3B - 6 = 6
- L * B - LB + 2L - 3B - 12 = 0
- L(B - 1) + 2(L - 3) - 12 = 0
- (B - 1)(L - 3) = 12
- Substituting L = 25 - B in the above equation:
- (B - 1)(22 - B) = 12
- 22B - B^2 - 22 + B = 12
- B^2 - 21B + 34 = 0
- B = 17 cm or B = 2 cm (neglecting 2 cm)
- Therefore, B = 17 cm
- Substituting B = 17 cm in L + B = 25 cm
- L + 17 = 25
- L = 8 cm

Dimensions of the flag:
- Length = 8 cm
- Breadth = 17 cm
Therefore, the dimensions of the Indian national flag are 8 cm x 17 cm.
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In a painting competition of school child Indian national flag whose perimeter was 50 cm its area will be decreased by 6 square CM if length is decreased by 3 cm the breath is increased by 2 cm then find the dimension of the flag?
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