Here is the floor plan of a rectangular room - OCR - GCSE Maths - Question 7 - 2018 - Paper 1
Question 7
Here is the floor plan of a rectangular room.
4.5 m
3 m
Not to scale
Tim buys carpet tiles for this room.
Each tile is a square measuring 50 cm by 50 cm.
The ti... show full transcript
Worked Solution & Example Answer:Here is the floor plan of a rectangular room - OCR - GCSE Maths - Question 7 - 2018 - Paper 1
Step 1
Calculate the area of the room
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Answer
To find the area of the rectangular room, multiply the length by the width:
extArea=4.5imes3=13.5extsquaremetres
Step 2
Calculate the number of tiles needed
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Answer
Each tile covers an area of:
extAreaofonetile=0.5imes0.5=0.25extsquaremetres
To find the total number of tiles needed, divide the area of the room by the area of one tile:
ext{Number of tiles} = rac{13.5}{0.25} = 54 ext{ tiles}
Step 3
Determine the number of packs required
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Since tiles are sold in packs of ten, calculate the number of packs needed:
ext{Number of packs} = rac{54}{10} = 5.4 ext{ packs}
Since we need to round up, Tim will need 6 packs.
Step 4
Calculate the cost of the tiles
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The cost for 6 packs is:
extCostoftiles=6imes20=£120
Step 5
Calculate the fitting cost
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Next, calculate the cost of fitting:
Since the area is 13.5 square metres, and any fractional metre is rounded up, the fitting area will be 14 square metres:
extFittingcost=14imes7.50=£105
Step 6
Calculate the total cost
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Finally, add the cost of the tiles and the fitting cost:
