Question

the number of square shaped tin sheet of side 25 cm that can be cut off from a square tin sheet of side 1 metre is​

Answer 1

Answer:

The number of square shaped tin sheets of side 25 cm that can be cut off from a square tin sheet of side 1 cm is 16.

Explanation:

${\underline{\underline{\bf{Given:}}}}$

• Measure of side of the square sheet = 1 m (100 cm)
• Measure of side of a square that can be cut off from the whole sheet = 25 cm

${\underline{\underline{\bf{Need\:to\:find:}}}}$

• The number of sheets with side 25 cm can be cut off from the whole sheet.

${\underline{\underline{\bf{Formula\:to\:be\:used:}}}}$

$\underline{\boxed{\sf{{Area}_{[Square]}=Side^2\:sq.units}}}$

${\underline{\underline{\bf{Solution:}}}}$

The number of that can be cut off from the whole sheet can be found by dividing the area of part to be cut off from the area of whole sheet. And their areas can be found by applying the measure of side in the formula:

$\leadsto{\boxed{\sf{Side^2\:sq.units}}}$

Area of whole tin sheet:-

Side: 1 m $\longrightarrow$ 100 cm

$\:\:\:\:\:\:\:\:\:\implies{\sf{100^2}}$

$\:\:\:\:\:\:\:\:\:\implies{\sf{100\times 100}}$

$\:\:\:\:\:\:\:\:\:\implies\underline{\bf{10,000\:{cm}^{2}}}$

Area of a piece of square sheet:

Side: 25 cm

$\:\:\:\:\:\:\:\:\:\implies{\sf{25^2}}$

$\:\:\:\:\:\:\:\:\:\implies{\sf{25\times 25}}$

$\:\:\:\:\:\:\:\:\:\implies\underline{\bf{625\:cm^2}}$

$\red\bigstar$ Number of sheets that can be cut off from the whole:

$\leadsto{\sf{\dfrac{Area\:of\:whole\:sheet}{Area\:of\:a\: piece\:of\:sheet}}}$

Now, by putting the measures:

$\:\:\:\:\:\:\:\:\:\implies{\sf{\dfrac{\cancel{10000}}{\cancel{625}}}}$

$\:\:\:\:\:\:\:\:\:\implies{\underline{\underline{\frak{\red{16}}}}}$

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