Question

A rectangular room is twice as long as it is broad and height is 4.5 m. If the area of its 4 walls is 216 m², find the area of the floor.​

Answer 1

Answer:

The area of the floor is 48 square meters.

Step-by-step explanation:

To find the area of the floor, we need to calculate the total area of the four walls first, then use that information to find the area of the floor.

1. Let the width of the room be x meters.

2. The length of the room is 2x meters.

3. The total area of the four walls is 2(4.5)(x + 2x) = 216 m².

4. Solve for x to find the width of the room.

5. Once you find the width, calculate the area of the floor by multiplying the width by the length (2x * x).

Answer 2

Answer:

128m^2

Step-by-step explanation:

Given:

1. Length of the room is twice the breadth:  L = 2B

2. Height is  H = 4.5 m

3. The area of the four walls is 216m^2

The area of the four walls can be calculated as the sum of the areas of the two longer walls and the two shorter walls.

The formula for the area of the four walls is:

2(L + B) x H = 216

Substituting the given values:

2((2B) + B) x 4.5 = 216

2(3B) x 4.5 = 216

6B x 4.5 = 216

27B = 216

B = 216/27 = 8m

Now, since the length is twice the breadth:

L = 2B = 2 x 8 = 16m

Now, to find the area of the floor, which is a rectangle, we use the formula:

Area = Length x Breadth

Area = 16 x 8 = 128m^2

So, the area of the floor is 128m^2.