Answer Option A and Option B. Consider the dilation. ( A) Is the image of the dilation a reduction or an enlargement of the orig
inal figure? Explain. ( B) What is the scale factor? Explain.
1 answer:
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Given:
Consider the below table attached with this question.
Every square meter of ceiling requires 10.75 tiles.
To find:
The missing values in the table.
Solution:
We have,
1 square meter of ceiling = 10.75 tiles. ...(i)
Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.
Multiply both sides by 10.
10×1 square meter of ceiling = 10×10.75 tiles.
10 square meter of ceiling = 107.5 tiles.
Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.
Divide both sides by 10.75 in (i).
square meter of ceiling = 1 tile.
Multiply both sides by 100.
square meter of ceiling = 100 tiles.
On approximating the value, we get
9.3 square meter of ceiling = 100 tiles.
Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.
Multiply both sides by a in (i).
a×1 square meter of ceiling = a×10.75 tiles.
a square meter of ceiling = 10.75a tiles.
Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.
