Math, asked by sheralchundawat136, 11 hours ago

0. A square has perimeter of 24 cm. Later foursquares of the same and are joined together
Find the perimeter of the shaded portions.
1) 36 cm
2) 42cm
3) 48 cm
4) 60 cm​

Answers

Answered by XxLUCYxX
1

According to the question, the perimeter of the given square is 24 cm.

We know that in square, all four sides are of equal length. Hence the formula for the perimeter of the square is:

\sf{\implies\:P\:=4s,\:where\:s\:is\:the\:side\:of\:the\:square}

Applying this formula for the given perimeter, we’ll get:

\sf{4s\:=24}

s = 24 \div4cm

6cm \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: equation \: 1

Thus the side of the square is of 6 cm length.

Now, we have to calculate the area of the square. We also know that the formula to determine the area of the square is

\sf{a\:=s^2}

Applying this formula and putting the value of s

side length of the square from equation (1), we’ll get:

a =  {6cm}^{2}

a =  \:  36 {cm}^{2}

Therefore the area of the given square is

36 {cm}^{2}

or

36cm

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