Question

The ratio of the parallel sides of a trapezium is 2:3. The perpendicular distance between them is 8 cm. If the area of the trapezium is 200 cm2, find the length of the parallel sides.​

Answer 1

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Let the parallel sides be 2x and 3x respectively.

Area of trapezium =420 square cm

Or 1/2×(sum of parallel sides)×(distance between the parallel sides)=420 square cm

Or 1/2×(2x + 3x)×8=420 square cm

Or 1/2 × 5x × 8=420 square cm

Or 20x = 420 square cm

Or x=21 cm

First side =2x =2×21=42 cm

Second side =3x =3×21 =63 cm

Answer 2

Let the parallel sides be 2x and 3x respectively.

Area of trapezium =420 square cm

Or 1/2×(sum of parallel sides)×(distance between the parallel sides)=420 square cm

Or 1/2×(2x + 3x)×8=420 square cm

Or 1/2 × 5x × 8=420 square cm

Or 20x = 420 square cm

Or x=21 cm

First side =2x =2×21=42 cm

Second side =3x =3×21 =63 cm