Exams › SSC CGL (Prelims) › General

A rectangular field has an area of 800 square meters. If its length were decreased by 10 meters and its width increased by 4 meters, the area of the field would remain the same. Find the original dimensions of the field.

1. Length = 40 m, Width = 20 m
2. Length = 100 m, Width = 8 m
3. Length = 80 m, Width = 10 m
4. Length = 50 m, Width = 16 m

Correct answer: Length = 50 m, Width = 16 m

Solution

Let length = L and width = W. Then LW = 800 and (L - 10)(W + 4) = 800. Expanding and using LW = 800 gives 4L - 10W = 40, which solves to L = 50 and W = 16.

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