Respuesta :

Answer:

The answer for this question is : 64cm²

Step-by-step explanation:

Firstly, Let the side of the square be "x"

When the paper is folded the resultant rectangle will have the same length as the side of the square and the width 1/2 of the square side.

So perimeter of the rectangle is :

[tex]x[/tex]+ [tex]\frac{x}{2}[/tex] + [tex]x[/tex] + [tex]\frac{x}{2}[/tex]

[tex]3x[/tex] = [tex]24[/tex]

[tex]x = 8[/tex]

[tex]x^{2} = 24cm[/tex]²

The area of the original paper is 8 × 8 = 64cm²

Answer:

64 cm²

Step-by-step explanation:

When a square is folded in half the resultant shape is a rectangle

With length equal to the side of the square and width half the side of the square.

let the length be x then the width is 0.5x

Form an equation and solve for x

x + x + 0.5x + 0.5x = 24 ← Perimeter of rectangle

3x = 24 ( divide both sides by 3 )

x = 8

Thus the side of the original square is 8 cm and

area = 8 × 8 = 64 cm²

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