Question

The area of a square is greater than the area of the circle by 12 cm². Find the length of the side of a square if the area of the circle is 36 cm².

Answer 1

Answer: 4√3

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Step-by-step explanation:

Area of the square: 36 cm^2 + 12cm^2

48cm^2

area of a square: side x side

48cm^2=side1^2 (sides of squares are all equal, so the same length is being multiplied by itself)

√ 48 cm^2

one side:

4√ 3 cm, or approximately 6.93cm

Answer 2

Answer: 6.93cm

Step-by-step explanation:

Let the area of a square be A and the area of a circle be B. Since area of a square is greater than the area of the circle by 12 cm², this means

A = 12cm² + B... (1)

If B = 36cm² which is the area of the circle, substituting this into equation 1,

A = 12cm² + 36cm²

A = 48cm²

Note that Area of a square A = length × length, therefore,

L² = 48cm²

L = √48

L = 6.93cm

The length of the side of a square will be 6.93cm