![\bf Correct Question](https://img.qammunity.org/2023/formulas/mathematics/high-school/abqry2z3hmzmjo3u74vsxkcnbhdo7jd4ym.png)
the length of a square room is 8m . what will be the cost of carpeting the room with carpet of width 128cm at the rate of Rs 120 per meter square?
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
Given :
- L = 8m
- Per meter ² cost = 120
- W = 128 cm = 1.28 m
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
To find :-
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
So to find cost we have to find Area
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
We know
![\dashrightarrow \sf Area = l * b](https://img.qammunity.org/2023/formulas/mathematics/high-school/3wpbbms2zedh67bubm67i4yp82ke4dqbh6.png)
![\\](https://img.qammunity.org/2023/formulas/spanish/high-school/3sx26fznv84e4ulbgeqvxi5ztv7h0mnzrw.png)
![\dashrightarrow \sf Area = 8 * 1.28 {m}^(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/c2zr379jlazuidnnl8djtn5t6tw1ndo8gc.png)
![\\](https://img.qammunity.org/2023/formulas/spanish/high-school/3sx26fznv84e4ulbgeqvxi5ztv7h0mnzrw.png)
![\dashrightarrow \sf Area =10.24{m}^(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/6cyscgt0fgh18xj5pytl2uh2z2itp8ih3f.png)
![\\](https://img.qammunity.org/2023/formulas/spanish/high-school/3sx26fznv84e4ulbgeqvxi5ztv7h0mnzrw.png)
Total Cost :-
- Area × Cost of 1 meter ²
- = 10.24 × 120
- = ₹ 1,228.8
![\therefore \underline {\textsf{\textbf{Total cost of carpeting is equal to \red{1228.8 rupees}}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ji1xenwhnujuy3b29shc8j4081gm1kkfb1.png)