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Question

A trapezium has an area of 570 cm2. The height of the trapezium is 5 cm and the larger parallel side is twice in length of the smaller parallel side. Choose the correct option.


A

Length of the larger parallel side is 152 cm

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B

Length of the smaller parallel side is 76 cm

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C

Length of the smaller parallel side is 38 cm

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D

Length of the larger parallel side is 76 cm

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Solution

The correct options are
A

Length of the larger parallel side is 152 cm


B

Length of the smaller parallel side is 76 cm


Let h be the height of a trapezium, a be the length of the smaller parallel side and then 2a will be the length of the larger parallel side.

Area of trapezium is given by = 12× sum of parallel sides × distance between parallel sides

=12×(a+2a)×h

=12×3a×h

570=15a2 [h=5 cm]

a=570×215=76 cm

Length of larger parallel side, 2a=2×76=152 cm


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