Question 145

The perimeter of a rectangular field is 240 metre. The ratio between the length and breadth of the field is 8:7. Find the area of the field.

Solution

Let the length and breadth of the rectangular field be $$8x$$ m and $$7x$$ m respectively.

Perimeter = $$2 (8x + 7x) = 240$$

=> $$15x = \frac{240}{2} = 120$$

=> $$x = \frac{120}{15} = 8$$

$$\therefore$$ Area of field = $$8x \times 7x = 56 x^2$$

= $$56 \times (8)^2 = 3584 m^2$$

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