Question

34. 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,​

Answer 1

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The area of a parallelogram is y cm

2

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.

Medium

Solution

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Correct option is

A

y+xh

2hy

cm

Let the base of parallelogram with area y be a cm

y=ah

=>h=

a

y

(i)

Let h

′

be the height of the other parallelogram.

Again, area of other parallelogram =2y and base of the parallelogram =a+x

2y=(a+x)h

′

=>2y=(

h

y

+x)h

′

(from (i))

=>h=

y+hx

2yh

cm