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Find the area of four walls of a room wh...

Find the area of four walls of a room whose length is 6 m, breadth is 5 m and heigth is 4 m.

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To find the area of the four walls of a room with given dimensions, we can follow these steps: ### Step 1: Understand the Shape The room is in the shape of a cuboid. The four walls consist of two pairs of opposite walls. ### Step 2: Identify the Dimensions The dimensions provided are: - Length (l) = 6 m - Breadth (b) = 5 m - Height (h) = 4 m ### Step 3: Use the Formula for Curved Surface Area The formula for the curved surface area (CSA) of a cuboid (which represents the area of the four walls) is given by: \[ \text{CSA} = 2h(l + b) \] ### Step 4: Substitute the Values into the Formula Now, substitute the values of height, length, and breadth into the formula: - Height (h) = 4 m - Length (l) = 6 m - Breadth (b) = 5 m So, \[ \text{CSA} = 2 \times 4 \times (6 + 5) \] ### Step 5: Calculate the Sum of Length and Breadth Calculate \( l + b \): \[ l + b = 6 + 5 = 11 \] ### Step 6: Calculate the Curved Surface Area Now substitute back into the formula: \[ \text{CSA} = 2 \times 4 \times 11 \] \[ \text{CSA} = 8 \times 11 \] \[ \text{CSA} = 88 \, \text{m}^2 \] ### Step 7: State the Final Answer The area of the four walls of the room is: \[ \text{Area} = 88 \, \text{m}^2 \] ---
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