7th Class
Mathematics
Perimeter and Area
Question Bank
Perimeter and Area
question_answer
In a parallelogram ABCD, the diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices B and D is 12 m. Find area of parallelogram.
A) 204sq.m
B) 408sq.m
C) 816sq.m
D) 806sq.m
Correct Answer:
B
Solution :
In \[\Delta \,\,ABC,\] base \[=AC=34\text{ }m,\] height \[=BM=12\text{ }m\] Area of \[\Delta \,\,ABC=\frac{1}{2}\times 34\times 12\] \[=204\,\,{{m}^{2}}\] Similarly the area of \[\Delta \,\,ADC=204\,{{m}^{2}}\] Area of parallelogram \[=(204++204)\,{{m}^{2}}=408\,{{m}^{2}}\]