tinki wrote:
regarding the problem got question:
cant parallelogram be trapezoid with equal sides ? (in that case the area of trapezoid will be totally different and the answer will be E )
Trapezoid is not a parallelogram.
Parallelogram has four sides where opposite sides are always equal and parallel, whereas in a trapezoid, only one pair opposite sides is parallel.
Parallelograms: Rectangle, Square, Rhombus.
Area of parallelogram = base * height = 100
1. base = 10;
base * height = 10 * height = 100
height = 10
But, we can't find the other side of the parallelogram in order to find the perimeter. Not sufficient.
2. One of the angles is 45. Say parallelogram PQRS, where PR is parallel to QS. \(\angle{Q}\) is \(45{\circ}\)
If a line is drawn perpendicular from point P to QS and it meets at point X.
We know that the altitude, distance between PR and QS, is same as the distance between Q and X.
We don't know the side. Not sufficient.
Using both, as earlier explained, X is nothing but R. So, the side becomes the hypotenuse of the right triangle with base 10 and altitude 10, \(10\sqrt{2}\)
Perimeter: \(10+10\sqrt{2}\)
Answer: "C"