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The tabletop is in a shape of a trapezium with area 10 m sq. If the parallel sides of the tabletop differ by 1 m and the distance between them is 4 cm , find the sides of a table top

Posted by Sundram Jha 5 years, 3 months ago

CBSE > Class 08 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

Step-by-step explanation:

let the shorter side be x cm

other side = x+1 cm

height = 4cm

Area of trapezium = (1/2)*sum of parallel side* height

= (1/2)*(x cm + x+1 cm)*4 cm

= 2x+1 cm * 2 cm

= 4x+2 cm square

ATQ

4x+2 = 10

=> 4x = 10 -2

=> x = 8/4

=> x = 2

side 1 = x cm

= 2 cm

side 2 = x+1 cm

= 2+1 cm

= 3 cm

1Thank You

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CBSE > Class 08 > Mathematics