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QThe rectangular field has a perimeter of 480 metres and a length-to-breadth ratio of 5:3. Determine the field's area.
ID: #5302
Area
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Let the length of the rectangle be 5x, and breadth be 3x,
Perimeter of a rectangle = 2(l +b) = 480
2(5x + 3x) = 480
2 x 8x = 480
16x = 480
x = 480/16 = 30
∴ Length = 5 x 30 = 150 m
Breadth = 3 x 30 = 90 m
And, Area of rectangle = L x B
= 150 x 90 = 13500 m2
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