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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 as the smaller parallel side. Choose the correct option. 



A

Length of the larger side is 152 cm

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B

Length of the smaller side is 76cm

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C
Length of the smaller side is 38 cm
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D
Length of the larger side is 76 cm
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Solution

The correct options are
A

Length of the larger side is 152 cm


B

Length of the smaller side is 76cm


Let h be the height of a trapezium, 'a' be the length of a larger parallel side and 'b' be the length of a smaller parallel side.

Area of trapezium is given by:

A=12×(a+b)×h     

Since larger parallel side is twice in length as the smaller parallel side
 a=2b

 A=12×(2b+b)×h 

  A=3b×h2 

  570=3b×52  

    b=76cm

a=2b=2×76=152cm


Mathematics

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