Question

The area of a parallelogram is y cm² and its height is h cm. The base of another parallelogram is x cm more than the base of the first parallelogram and its area is twice the area of the first. Find, in terms of y, h, and x, the expression for the height of the second parallelogram.

Answer 1

Let 'y' and 'h' be the area and the height of the first parallelogram respectively.

Let 'height' be the height of the second parallelogram

base of the first parallelogram = `y/h`cm

the base of the second parallelogram = `( y/h + x )` cm

`( y/h + x )` x height = 2y

height = `[2hy]/[ y + hx ]`