Question

# One cm is equal to 10 mm. How many squares mm are there in one square cm?$(a){\text{ 10sq mm}} \\ (b){\text{ 20sq mm}} \\ (c){\text{ 100sq mm}} \\ (d){\text{ 1000sq mm}} \\$

Verified
155.7k+ views
Hint – In this question the conversion of cm to mm is given to us, we need to find the relation between one square mm and one square cm simply use the given relation and square both sides to obtain the conversion in desired form.

$\Rightarrow 1{\text{ cm}} = 10{\text{ mm}}$………………. (1)
$\Rightarrow {\left( {1{\text{ cm}}} \right)^2} = {\left( {10{\text{ mm}}} \right)^2}$
$\Rightarrow \left( {1{\text{ cm}}} \right) \times \left( {1{\text{ cm}}} \right) = \left( {10{\text{ mm}}} \right) \times \left( {10{\text{ mm}}} \right)$
$\Rightarrow \left( {1 \times 1} \right){\text{ c}}{{\text{m}}^2} = \left( {10 \times 10} \right){\text{ m}}{{\text{m}}^2}$
$\Rightarrow 1{\text{ c}}{{\text{m}}^2} = 100{\text{ m}}{{\text{m}}^2}$