If the side of a square is increased by 25%, then how much percent does its area get increased?

Length of carpet = Total Cost / Rate
= 3600 / 30
= 120 m

Area of carpet = (120 x 75) / 100 m²
= 90 m²
? Area of the room = 90 m²

Breadth of the room = Area /Length
= 90 / 15 m
= 6m

Let length = l and breadth = b
Then, area = lb

New length = 2l
And new breadth = b/2
? New area = ( 2l ) x (b/2) = lb

So, there is no change in area .

Altitude = ?(13)² - (5)²
= ?144 = 12m

? Area of the triangle = (5 x 12 ) / 2 m²
= 30m²

Area = 1/2 hectare = 10000 / 2 m²
= 5000 m²

Again Area = 1/2 x (Diagonal)²

So 1/2 x (Diagonal)² = 5000m²
? Diagonal²= 10000
? Diagonal = 100

Given in the question,
n(M ? B) = 50, n(M) = 35, n(B) = 37, n(M ? B) =?
use the below formula
n(M ? B) = n(M) + n(B) ? n(M ? B)
We get 50 = 35 + 37 ? n(M ? B)
? n(M ? B) = 35 + 37 ? 50 = 72 ? 50 = 22
? 22 students have opted for both Mathematics and Biology.
Again number of students who have opted for only Mathematics = n(M) ? n(M ? B) = 35 ? 22 = 13.

Let each side = x cm
Then, (x + 4 )² - x² = 60
? x ² + 8x + 16 - x² = 60
? x = 5.5 cm

Length = (40 x 10 ) dm = 400 dm.
Breadth = (15 x 10 ) dm = 150 dm.

Area of veranda = (400 x 150 ) dm²
Area of one stone = (6 x 5 ) dm²

? Required number of stones = (400 x 150) /(6 x 5) = 2000

Let breadth = y meters,
Then, length = 2y meters

? Diagonal = ?y² + (2y)²
= ?5y² meters

So, ?5y² = 9 ?5
? y= 9

Thus, breadth = 9 m and length = 18 m
? Perimeter = 2 (18 + 9) m = 54m.

Perimeter = 2 x (36 + 21 ) m = 144 m
? Number of flagstaffs = 144 / 3 = 38

Area = 1/2 x (Diagonal)²
= (1/2) x 5.2 x 5.2 cm²
= 13.52 cm²