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Given :-
- Perimeter of square = Perimeter of rectangle
- Area of square = 100 cm²
- Length of rectangle = 14 cm
To Find :-
- Area of the rectangle
Solution :-
★ Area of square = a²
→ a² = 100
→ a = √100
→ a = 10 cm
Side of the square = 10 cm
★ Perimeter of square = 4a
→ 4 × 10
→ 40 cm
Perimeter of square = 40 cm which is also equal to perimeter of rectangle
★ Perimeter of the rectangle = 2 ( L + B )
→ 2 ( 14 + B ) = 40
→ 28 + 2B = 40
→ 2B = 40 - 28
→ B = 12/2
→ B = 6 cm
Breadth of rectangle = 6 cm
★ Area of rectangle = L × B
→ 14 × 6
→ 84 cm²
Area of the rectangle = 84 cm²
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