Question

find the area of square, whose perimeter and area are in the ratio 1:2.
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Answer 1

Answer:

64

Step-by-step explanation:

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Answer 2

The area of square = 64 square units

Step-by-step explanation:

Let side of square = a

Given,

The perimeter and area of square = 1 : 2

To find, the area of square = ?

We know that,

The perimeter of square = 4a

and

The area of square $=a^{2}$

According to question,

$\dfrac{4a}{a^2}=\dfrac{1}{2}$

⇒ $\dfrac{4}{a}=\dfrac{1}{2}$

⇒ a = 8 units

The area of square $=8^{2}$

= 64 square units

Hence, the area of square = 64 square units