Aptitude - Area - Discussion

Discussion Forum : Area - General Questions (Q.No. 6)
6.
The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?
5 1
4
13 1
2
27
37
Answer: Option
Explanation:

Other side =
15 2 - 9 2
2 2
ft
=
225 - 81
4 4
ft
=
144
4
ft
= 6 ft.

Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.

Discussion:
24 comments Page 2 of 3.

Captain said:   5 years ago
Your explanation is best, Thanks @Kiran.

Gourikrishna said:   6 years ago
How 15/2 and 9/2 came? Explain me in clear.

Sivaram said:   7 years ago
You correct @Sheela.

By using Pythagoras theory, we can predict.

Jagan said:   1 decade ago
What is closet mean?

Shri said:   1 decade ago
@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

Kuldeep kumar said:   1 decade ago
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?

Sheela said:   1 decade ago
Using the formula given hy^2=base^2+hgt^2.

We get the ans as 6ft and here in the question we have to find the area in square feet so we have to multiply with 4.5 = 9/2 so we have the ans of 27 with the product of 4.5 and 6 because we are considering the side but not the diagonal.

Sheela said:   1 decade ago
Using the formula given hy^2=base^2+hgt^2.

We get the ans as 6ft and here in the question we have to find the area in square feet so we have to multiply with 4.5 = 9/2 so we have the ans of 27 with the product of 4.5 and 6 because we are considering the side but not the diagonal.

Gaurav said:   1 decade ago
(Hypotenuse)2 = (Base)2 + (Height)2.

So! H^2 = hy^2 - Base^2 ----- eq1.
Here hy = 15/2 , base= 9/2 ...................(*9/2 = 4.5).

After solve eq1, we get 6ft

Area of closet = 6ft * 4.5 ft (this come from base, see to * ..).

Surinder singh said:   1 decade ago
What is the shape of closet?


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