Question

Here is a scale diagram of part of a wall.
Scale: 4 cm represents 1
Kamran measured the dimensions on the diagram to be 8 cm and 4 cm.
Kamran is going to cover this part of the wall with square tiles.
Each tile has sides of length 10cm.
The tiles cost 25p each.
Kamran spends £60 on tiles.
Show that Kamran has bought enough tiles.
(4 marks)
Kamran bought
tiles
Kamran needs
tiles
Please answer urgently and detailed !!!!

Answer 1

As Kamran has bought tiles for $60 while he needs only $50 tiles, therefore, he has bought enough tiles to cover the entire wall.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given the length of the wall on the diagram is 8 cm by  4 cm. And it is given that 4 cm is equal to 1 meters. Therefore, the original dimensions of the wall are,

8 cm → 8×(1/4) → 2 meters = 200 cms.

4 cm → 4×(1/4) → 1 meters = 100 cms

Now, the area of the wall in reality is 200 cm by 100 cm. Therefore, the total area of the wall is,

Total area = 200 cm × 100 cm = 20,000 cm²

The area of a single square tile of side length 10 cm is,

Area of a single tile = 10cm × 10cm = 100 cm²

The number of tiles that will be needed to cove the entire wall will be,

Number of tiles needed = 20000 / 100 = 200

Since the cost of a single tile is $0.25, therefore, the cost of 200 tiles will be,

Cost of 200 tiles = $0.25× 200 = $50

As Kamran has bought tiles for $60 while he needs only $50 tiles, therefore, he has bought enough tiles to cover the entire wall.

Learn more about Ratios:

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