Question

3. A painting is made of 3 concentric squares. The side length of the smallest square is 5 cm. The side length of
each outer square is 5 times the side length each square just inside it. What is the area of the painting?
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Answer 1

Answer:

Area of painting is $15,625\hspace{0.1cm}cm^2$

Step-by-step explanation:

Given that a painting is made of 3 concentric squares.

Two or more squares are concentric when each square share the same centre or axis

Length of side of smallest square $\hspace{0.1cm}=\hspace{0.1cm}5\hspace{0.1cm}cm$

Also, side length of outer circle is 5 times the side length of square just inside it

Thus, the side length of middle square is calculated as

$S_2= 5\hspace{0.1cm}cm\hspace{0.1cm}\times\hspace{0.1cm}5\\\\ S_2= 25\hspace{0.1cm}cm$

Similarly, length of outer square is calculated as

$S_3= 25\hspace{0.1cm}cm\hspace{0.1cm}\times\hspace{0.1cm}5\\\\ S_3= 125\hspace{0.1cm}cm$

Now, Area of painting is calculated as

$Area = (\,S_3)\,^2\\\\Area = 125^2\\\\Area = 15,625$

Hence, area of painting is $15,625\hspace{0.1cm}cm^2$

Answer 2

Answer:

sorry I don't know sorry sorry