Find the area of a trapezium whose parallel sides measure 60cm and 17em and non-panallel sides ani 25.cm and 26cm
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In The Figure
- ABCD is a trapezium
- ABDE is a parallelogram
- BCE is a triangle
In Triangle BCE
Semi Perimeter = (a+b+c )/2
= {25+26+(77-60)}/2
= (51+17)/2
= 68/2
= 34
AREA = s(s−a)(s−b)(s−c)
= √[34(34−25)(34−26)(34−17)]
= √[34(9)(8)(17)]
= 17∗3∗4
= 204
NOW
1/2bh = 204
bh = 408
17h = 408
h = 408/17
h = 24 cm
Area Of Parallelogram
= bh
= 60 * 24
= 1440 cm²
Area Of Trapezium
= area of parallelogram + area of triangle
= 1440 + 204
= 1644 cm²
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Hope it helps you mate :)
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