Mathematics
The area of trapezium PQRS will be :
170 cm2
180 cm2
160 cm2
190 cm2
Theorems on Area
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Answer
In triangle RTQ,
RQ2 = RT2 + QT2
(17)2 = RT2 + (8)2
RT2 = 289 - 64
RT2 = 225
RT = = 15 cm.
We know that,
Area of the trapezium = × sum of parallel sides × height
= × (8 + 16) × 15
= × (24) × 15
= 15 × 12
= 180 cm2.
Hence, option 2 is the correct option.
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