the length of room is twice its breadth. if the area is 242 square meters then find out it's breadth

a) 11
b) 10
c) 12
d) 9
show ur workings?

width --- x

length --- 2x
x(2x) = 242
2x^2 = 242
x^2 = 121
carry on, what is the square root of 121 ?

Let's assume the breadth of the room is x meters.

According to the given information, the length of the room is twice its breadth. Therefore, the length would be 2x meters.

The area of a rectangle is calculated by multiplying its length by its breadth. So, we can write the equation:

Area = Length × Breadth

Substituting the values:

242 = (2x) × x

Now, we can solve this equation to find the value of x.

242 = 2x^2

Dividing both sides of the equation by 2:

121 = x^2

Taking the square root of both sides:

11 = x

Hence, the breadth of the room is 11 meters.

Therefore, the correct answer is option a) 11.

To solve this problem, we can use the formula for the area of a rectangle: Area = Length * Breadth.

Let's assume the breadth of the room is represented by 'x'. Since the length of the room is twice its breadth, we can write the length as 2x.

Given that the area is 242 square meters, we can set up an equation using the formula for area:

242 = (2x) * x

Now, let's solve the equation:

242 = 2x^2

Divide both sides of the equation by 2 to isolate x^2:

121 = x^2

Take the square root of both sides to solve for x:

x = √121

x = 11

Therefore, the breadth of the room is 11 meters.

So, the answer is option a) 11.

Multiply each breadth by twice the breadth.

For instance, 9 * 18 = 162
Nope -- that's not the answer.