[12 cm] Find the height of the parallelogram whose base is four times that of the height and whose area is 5

For Competitive Exams

Find the height of the parallelogram whose base is four times that of the height and whose area is 576 $cm^{2}$

22 cm

12 cm

25 cm

32 cm

Explanation:

The area of a parallelogram is 576 $cm^{2}$

Let h be the height of the parallelogram.

The length of the base is four times the height.

The base of the parallelogram = 4 x h

= (4 x h) x h = 4 x $h^{2}$

The area of the parallelogram = base x height

4 x $h^{2}$ = 576

[From step 1.]

$h^{2}$ = 144

[Divide each side by 4.]

h = 12 cm

[Take the square roots on both the sides.]

The height of the parallelogram is 12 cm

Additional Questions

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?	Answer
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:	Answer
The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 800 per sq. metre.	Answer
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?	Answer
A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, find out the area of the parking space in square feet?	Answer
By how many times will the area of a triangle increase, if the base and the height are increased by 2 times?	Answer
Find the area of a parallelogram, if the base is 10 inches and the corresponding height is 7 inches.	Answer
A hall measures 18 feet long and 10 feet wide. If the width of the hall is doubled, what would be the area of the new hall?	Answer
What happens to the area of the triangle, when the base of the triangle is increased by 5 times?	Answer
Find the height of the parallelogram whose base is four times that of the height and whose area is 576 $cm^{2}$	Answer

Share with Friends