Question 23

Sum of the,perimeter of Square2 and Square1, is 80 cm. If the side of Square2, is 3 times that of Square1, what is the area of the Square2 ? (in cm )

Solution

Let the side of Square1 = a cm

=> Side of Square2 = 3a cm

Sum of perimeter of both squares

=> $$(4 \times a) + (4 \times 3a) = 80$$

=> $$4a + 12a = 80$$

=> $$a = \frac{80}{16} = 5$$

=> Side of Square2 = 5 * 3 = 15 cm

$$\therefore$$ Area of Square2 = $$(15)^2$$

= $$225 cm^2$$


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