Q: The rectangular field has a perimeter of 480 metres and a length-to-breadth ratio of 5:3. Determine the field's area.

A 7200 m²
B 15000 m²
C 13500 m²
D 54000 m²

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Answer: C

Explanation:

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

Q: The rectangular field has a perimeter of 480 metres and a length-to-breadth ratio of 5:3. Determine the field's area.

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