Question

9. If the diagonal of a square is
42 cm, then the Area of
*
square is
sq. cm.​

Answer 1

Answer:

882 sq.cm

Step-by-step explanation:

A=a^2

d=underoot 2  a

A=1/2d^2=1 /2.42^2=882cm²

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Answer 2

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here it is given in the question that the diagonal of a square is 42 cm. Now the question has asked us to find out the area of the given square.

⛤ HOW TO DO:-

$\to$ Here as the diagonal is given we have to use a suitable formula to find the area of the given square. First of all we have to put the values in a certain formula and then after by solving it we will get the answer.

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ANSWER:-

⇶ Area of the given square is 882 cm².

GIVEN:-

⇨ Shape = Square

⇨ Length of the diagonal of a square = 42 cm

TO FIND:-

• Here we have to find the area of the given square.

SOLUTION:-

• We have to use a certain formula.
• By solving by applying that particular formula we will get the answer.
• There is a different formula to find the area when the length of a diagonal is given.
• Formula is given below.

We know that:-

$\green \bigstar \underline{\boxed{ \rm \purple {Area \: of \: square = \dfrac{1}{2} \times d^{2} }}}$

Here,

• D = 42

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So, let's solve it!

• Finding the area:-

$\dashrightarrow \tt {Area = \dfrac{1}{2} \times 42 \: cm^{2}}$

$\dashrightarrow \tt {Area = \dfrac{1}{2} \times 42 \: cm \times 42 \: cm}$

$\dashrightarrow \tt {Area = \dfrac{1 \times 42 \: cm \times 42 \: cm}{2}}$

$\dashrightarrow \tt {Area = \dfrac{1 \times 1764 \: cm^{2}}{2}}$

$\dashrightarrow \tt {Area = \dfrac{1764 \: cm^{2} }{2}}$

$\dashrightarrow \tt {Area = \dfrac{ \not1 \!\!\!\not7 \!\!\!\not6 \!\!\!\not4 \: cm ^{2} }{ \not2} = 882 \: cm^{2} }$

$\red {\odot} \: \overline{ \boxed{\tt Area = 882 \: cm^{2}}}$

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