Question

10. The area of trapezium of height 10 cm is
175 sq. cm. If one of the parallel sides measures
20 cm, find the length of the other parallel side.​

Answer 1

AnSwer -:


The other parallel sides -: 15 cm

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Explanation-:

Formula of area of trapezium-:

“A = 1/2 x h (a+b)”

A = Area

H = height

(A +b) = sum of parallel sides

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Given ,

Area of trapezium-: 175 cm^2

Height of trapezium = 10 cm

One parallel side of trapezium = 20 cm

To find ,

Other parallel side of trapezium

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Let the other parallel side of trapezium

be y.

Formula of area of trapezium-:


“A = 1/2 x h (a+b)”

A = Area =175 cm^2

H = height= 10 cm

(A +b) = sum of parallel sides = (20 + y )

Then ,

1/2 x 10 (20 + y) = 175 cm^2

= 5 x (20 + y) = 175 cm^2

= 20 + y = 175/5

= 20 + y = 35

= y = 35 - 20

= y = 15

Therefore

The other parallel sides -: 15 cm

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Verification-:

Formula of area of trapezium-:


“A = 1/2 x h (a+b)”

A = Area =175 cm^2

H = height= 10 cm

(A +b) = sum of parallel sides = (20 + 15)


Then ,

= 1/2 x 10 (20 +15) = 175 cm^2

= 5 (20 +15 ) = 175 cm^2

= 5 x 35 = 175 cm^2

= 175 cm^2 = 175 cm^2

Therefore,

LHS = RHS

Hence verified

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Trapezium-: A trapezium is a type of

quadrilateral, which has only two

parallel sides and the other two sides

are non-parallel.

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