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If the breadth of a rectangle is increased by 5 cms, its area is increased by 25 sq.cm. If the length is increased by 5 cms, its area increases by 20 sq.cm. Find the area of the rectangle in sq.cm.

Solution

✅ Correct Option: 2

Area of a rectangle =Length×Breadth= \text{Length} \times \text{Breadth}

When one side is increased and the other stays the same, the extra area == (increase) ×\times (unchanged side).


The breadth is increased by 55 cm, and the area goes up by 2525 sq.cm.

The extra area is a strip of width 55 along the length:

5×Length=255 \times \text{Length} = 25

Length=5\text{Length} = 5 cm


The length is increased by 55 cm, and the area goes up by 2020 sq.cm.

5×Breadth=205 \times \text{Breadth} = 20

Breadth=4\text{Breadth} = 4 cm


Area=Length×Breadth\text{Area} = \text{Length} \times \text{Breadth}

=5×4= 5 \times 4

=20= 20 sq.cm

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