Question

answer 10 question fast with full explanation​

Answer 1

Step-by-step explanation:

area of square = side²

121m²=side²

11m=side

Answer 2

Question

10. If the area of the square is 121 m², the side of the square is,

(a) 11 m

(b) 21 m

(c) 31 m

Given

• Area of the square = 121 m²

To find

• Side of the square

Solution

Here, we will use the formula of the area of the square to find the side of the square.

Using formula,

$\huge\dag \large {\boxed{ \bf \red{area \: of \: the \: square = {side}^{2} }}} \bigstar$

Substitute the given values,

$\quad : \implies \sf \gray{121 = {side}^{2} } \\ \\ \\ \quad : \implies \sf \gray{ \sqrt{121} = side} \\ \\ \\ \quad : \implies \sf \gray{ \sqrt{11 \times 11} = side} \\ \\ \\ \quad : \implies \sf \gray{ \pm \: \: 11 \: \: reject \: - ve= side} \\ \\ \\ \quad : \implies \sf \gray{side = 11 \: m} \\ \\ \\ \therefore \sf \red{side \: of \: the \: square =11 \: m }$

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$\large{\boxed {\bold{lets \: verify :}}} \\ \\ \\ \quad : \implies \sf \gray{121 = (side) ^{2} } \\ \\ \\ \quad \diamond \: \: \tt \: \pink{(side = 11 \: m)} \\ \\ \\ \bold{ \underline {rhs}} \\ \\ \\ \quad : \implies \sf \gray{( {11}^{2}) } \\ \\ \\ \quad : \implies \sf \gray{121} \\ \\ \\ \bold{ \underline{lhs = rhs}} \\ \\ \\ \quad \dag\bf \orange{ \underline{hence \: verified}}$

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Know More

• Perimeter of square = 4 × side
• Diagonal of square = √2a
• Perimeter of reactangle = 2(l + b)
• Diagonal of rectangle = √l² + √b²