Aptitude - Area - Discussion

Length of closet will come 12/2 feet. (Using Pythagoras theory).

And area = l*b = (9/2)*(12/2) = 9*3 = 36 sq.feet.

Then how it comes 27 sq.feet?

@Siddhesh.

Breadth i.e. the smallest side is 9/2 ie 4.5 since the area of rectangle is length*breadth therefore the final step is 6*9/2 or 6*4.5

If suitable sketches were given and hypotenuse theorem is to be applied on required statement, learners got it easy.

How 6 is coming? Can you simplify?

Once look at the explanation at the top, I hope you will get.

Shouldn't closet mean a cuboid or a cube?

A closet is a little room where clothes are hung. This closet is in the shape of a rectangle. The diagonal of the floor of the closet is 7.5 ft and the shorter side is 4.5 ft. To find the area of the floor we need the measure of the longer side. Remember that when we have a diagonal in a rectangle or square we will have 2 triangles.

Now using the Pythagoras Theorem:

a^2 + b^2 = c^2.
4.5^2 +b^2 =7.5^2.
b^2 = 7.5^2 - 4.5^2.
b^2 = 56.25^2 - 20.25^2.
b^2 = 36.

Therefore b = 6 (length of longer side).

Area = length x width.
= 6 x 4.5.
= 27ft^2.

You correct @Sheela.

By using Pythagoras theory, we can predict.

How 15/2 and 9/2 came? Explain me in clear.

Your explanation is best, Thanks @Kiran.