What will be the area of a rectangle whose length is 0.5m - 0.5n and height is 2(m + n)?

m^{2} + n^{2}

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m^{2} - n^{2}

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m^{2} + n^{3}

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m^{3} + n^{2}

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Solution

The correct option is B $m^{2} - n^{2}$
Area $= (0.5 m - 0.5 n) (2 (m + n))$
Area $= (\frac{1}{2} m - \frac{1}{2} n) (2 (m + n))$
Multiplication is commutative.
$= 2 (\frac{1}{2} m - \frac{1}{2} n) (m + n)$
$= (m - n) (m + n) = (m)^{2} - (n)^{2} = m^{2} - n^{2}$

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What will be the area of a rectangle whose length is 0.5m - 0.5n and height is 2(m + n)?

The correct option is B m2−n2Area =(0.5m−0.5n)(2(m+n)) Area =(12m−12n)(2(m+n)) Multiplication is commutative. =2(12m−12n)(m+n) =(m−n)(m+n)=(m)2−(n)2=m2−n2

The correct option is B $m^{2} - n^{2}$
Area $= (0.5 m - 0.5 n) (2 (m + n))$
Area $= (\frac{1}{2} m - \frac{1}{2} n) (2 (m + n))$
Multiplication is commutative.
$= 2 (\frac{1}{2} m - \frac{1}{2} n) (m + n)$
$= (m - n) (m + n) = (m)^{2} - (n)^{2} = m^{2} - n^{2}$