Question

The area of a parallelogram is 20 square units.If the base and height of the parallelogram are halved,the area changes to ____ of the original

Answer 1

`\sf\\\textsf{Let the initial base and height of the parallelogram be b and h respectively.}\\\textsf{Area of parallelogram(A) = Base x height}\\\textsf{or, 20 = bh}\\\\\textsf{Now, after both height and base are halved, }\\\textsf{Area of parallelogram(a) = }(b)/(2)*(h)/(2)=(bh)/(2)=(20)/(2)\\\\\therefore\ \textsf{Area of resulting parallelogram = 10 sq. units}`

`\textsf{So the area changes to half of the original.}`