Mensuration Practice Test 8

Question : 4 of 40

Marks: +1, -0

The parallel sides of a field which is in the shape of a trapezium are 20 m and 41 m and the remaining sides are of length 10 m and 17 m. The area of the field (in

m^2

) is:

Validate

Solution:

Area of triangle EBD

S =

{a+b+c}/2

{10+17+21}/2

{48}/2

= 24 m
Area =

√{s(s-a)(s-b)(s-c)}

√{24(24-10)(24-21)(24-17)}

√{24×14×3×7}

√{7056}

= 84 m
Area of triangle =

1/2 × b × h

84 =

1/2 × 21 × h

{84×2}/2

= h
h = 8 m
Area of trapezium =

1/2(a+b)

× h
=

1/2(20+40)

× 8
= 61 × 4 = 244

m^2

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