a carpet is place in a room 5m by 4m,leaving a margin of 50cm all around .find the cost of this carpet at shillings 63 persquare
assuming the cost is 63/m^2, it will come to
(5-2*.5)(4-2*.5)(63)
50÷100=05
5.5×4.5=24.75
5×4=20
24.75-20.00=4.75×63=299.25
To find the cost of the carpet, we first need to calculate the area of the room that needs to be covered by the carpet.
Given:
Length of the room = 5m
Width of the room = 4m
Margin all around = 50cm = 0.5m
To calculate the length and width of the carpet needed, we subtract the margin from the dimensions of the room:
Length of carpet = Length of room - (2 * Margin)
= 5m - (2 * 0.5m)
= 5m - 1m
= 4m
Width of carpet = Width of room - (2 * Margin)
= 4m - (2 * 0.5m)
= 4m - 1m
= 3m
Now, we calculate the area of the carpet:
Area of carpet = Length of carpet * Width of carpet
= 4m * 3m
= 12 square meters
Next, we need to calculate the cost of the carpet per square meter:
Cost per square meter = 63 shillings
Finally, we multiply the area of the carpet with the cost per square meter to get the total cost of the carpet:
Total cost of carpet = Area of carpet * Cost per square meter
= 12 square meters * 63 shillings
= 756 shillings
Therefore, the cost of the carpet is 756 shillings.