the area of square field is 5184 m square or rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of square field find the area of rectangular field
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Step-by-step explanation:
Area of square field = 5184 m²
(side)² = 5184
side = √5184
side = 72 m
Perimeter of square field = 4 × side = 4 × 72 = 288 m
Now, in the rectangular field,
given that L = 2 B
Also perimeter of rectangular field = Perimeter of square field = 288 m
So, perimeter of rectangular field = 2(L+B)
288 = 2(2B + B)
144 = 3 B
B = 48 m
So, L = 2 B = 2 × 48 = 96 m
Now, the area of rectangle = L × B
= 96 × 48
= 4608 m²
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