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 1 of 3.

Jagan said:   1 decade ago
What is closet mean?

BhargaV said:   1 decade ago
How 4.5 came ?

Kiran Joy said:   1 decade ago
Closet only means a closed space. So here in a rectangle diagonal=7. 5 feet and breadth=4. 5 feet. So using hypotenuse2=base2+altitude2 we can easily find the lenght. So area= l*b.
(1)

Divya said:   1 decade ago
Shorter side( width) = 4 1/2 = 9/2= 4.5
other side(length) = 6

Area= 6*4.5 = 27

Siddhesh said:   1 decade ago
Please give the answer for how 4.5 came?

Vaishnavi said:   1 decade ago
@Siddhesh.

In the question itself one of the side value is given that is 4*1^2 (shortest closet). Since it s shortest closet we are taking that as breadth value 4.5 feet and derived value as the length (6 feet).

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

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 * ..).

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.


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