Dolly wanted to increase the dimensionality of her hall which is 24x7
by 12. She wants to floor the tiles with grey colored tiles. The shop
minimum number of tiles she needs to buy.
Answers
Answer:
14
Step-by-step explanation:
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Dolly will need to buy 90 tiles.
GIVEN: Dolly wanted to increase the dimensions of her hall which is 24x7 by 12. She wants to floor the tiles with grey-colored tiles.
TO FIND The minimum number of tiles she needs to buy.
SOLUTION:
As we are given in the question,
The dimensions need to be increased by 24x7 by 12.
According to the question,
The initial length of the floor = 24
The initial breadth of the floor = 24
Also,
New length of floor = 24 + 16 = 40m .
New breadth of floor = 24 + 12 = 36m.
Since,
It is said that we need to find the minimum tiles.
Therefore, we may find the Highest Common Factor between the two new sides of the floor.
Therefore,
Finding the HCF and factorizing
40 = 2 * 2 * 2 * 5
36 = 2 * 2 * 3 * 3
Therefore,
HCF = 2 * 2 = 4 .
Therefore,
Dolly needs to buy 4*4 grey tiles from the store.
Now,
Number of tiles = 40 * 36 / 4 * 4 = 10 * 9 = 90 tiles
Therefore, Dolly should buy 90 tiles from the store.:
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