Study the adjoining picture and answer the following questions:
The area of trapezium DGCE is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 130 m2
The area of a trapezium is \(\frac{1}{2}\times(\text{sum of the parallel sides})\times(\text{distance between them})\). In DGCE the parallel sides are DG and EC, both at right angles to AC, so the distance between them is GC.
Parallel sides: DG \(=5\) m and EC \(=15\) m
GC \(=\) AC \(-\) AG \(=25-12=13\) m
Area \(\displaystyle =\frac{1}{2}\times(5+15)\times13=130\) m2