# 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
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.

Pawar Sagar Dayanand said:   1 year ago
Assume,
length = x.

Formula.
(diagonal)²= (length)²+ (width)².
(7.5)² = (x)² + (4.5)²
(x)² = (7.5)² - (4.5)²
(x)² = 36
x = 6.

It means the length is 6.

Area = length x width.
= 6 x 4.5.
= 27 sq. ft.
(6)

Sandy said:   1 year ago

Sujina said:   2 years ago
area=1/2 (d^2),
= 225/8,
= 28.
(1)

Punni said:   4 years ago
@Kiran Joy.

Thank You so much. Now the logic of the question is clear.

Captain said:   4 years ago
Your explanation is best, Thanks @Kiran.

Gourikrishna said:   5 years ago
How 15/2 and 9/2 came? Explain me in clear.

Sivaram said:   6 years ago
You correct @Sheela.

By using Pythagoras theory, we can predict.

Mathslover said:   8 years ago
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.
(1)

Dheerendra said:   8 years ago
Shouldn't closet mean a cuboid or a cube?

Sravani said:   9 years ago
Once look at the explanation at the top, I hope you will get.
(1)