Question

Plss answer with workinnggg

a rectangular room is 3.5m by 4.8m. it has a door 80 cm wide, and a window 1.3m wide. a wallpaper freize runs around the room at eye level, so it is broken for the door and window. find the total length of freize used in the room.
100 POINTS PLSS

Answer 1

To find the total length of the frieze used in the room, we need to calculate the perimeter of the walls at eye level and then subtract the lengths where the door and window are located.

Given:

Length of the room (L) = 3.5 meters

Width of the room (W) = 4.8 meters

Width of the door (D) = 80 cm = 0.8 meters

Width of the window (Wd) = 1.3 meters

Step 1: Calculate the perimeter of the walls at eye level (P_wall).

P_wall = 2(L + W) = 2(3.5 + 4.8) meters

Step 2: Calculate the lengths where the door and window are located (L_door and L_window).

L_door = W (since the door is on one of the shorter sides)

L_door = 4.8 meters

L_window = L (since the window is on one of the longer sides)

L_window = 3.5 meters

Step 3: Calculate the total length of the frieze used in the room (L_frieze).

L_frieze = P_wall - (L_door + L_window)

L_frieze = [2(3.5 + 4.8)] - (4.8 + 3.5) meters

Now, let's do the calculations:

L_frieze = [2(8.3)] - 8.3 meters

L_frieze = 16.6 - 8.3 meters

L_frieze = 8.3 meters

The total length of the frieze used in the room is 8.3 meters.

Answer 2

14.5 m

`\hrulefill`

Explanation:

To find the total length of the frieze used in the room, we need to calculate the perimeter of the room (excluding the door and window) and then subtract the widths of the door and window from the total perimeter.

Given:

• Length of the room (L) = 3.5 m
• Width of the room (W) = 4.8 m
• Width of the door = 80 cm = 0.8 m
• Width of the window = 1.3 m

First, calculate the perimeter of the room:

`\begin{aligned}\sf Perimeter &= \sf 2(Length + Width)\\&= \sf 2(3.5 + 4.8)\\&= \sf 2 \cdot 8.3\\& = \sf16.6\; m\end{aligned}`

Now, subtract the widths of the door and window from the total perimeter:

`\begin{aligned}\textsf{Total length of frieze}&= \sf Perimeter - (Width \;of\; the \;door + Width\; of\; the\; window)\\&=\sf 16.6-(0.8+1.3)\\&=\sf 16.6-2.1\\&=\sf 14.5\; m\end{aligned}`

Therefore, the total length of the frieze used in the room is 14.5 meters.