Respuesta :

Answer:

Step-by-step explanation:

Since the ladybug is [tex]3.3cm[/tex] far from each edge of the rectangle, it follows that the length of the new rectangle is [tex]3.3cm+9.5cm + 3.3cm = 16.1cm[/tex] and the width is [tex]3.3cm+7.5cm + 3.3cm = 14.1cm[/tex].

Recall a formula for the area of a rectangle: [tex]A = l \cdot w[/tex], where [tex]l[/tex] is a length and [tex]w[/tex] is a width of the rectangle.

Substitute [tex]l=16.1cm[/tex] and [tex]w=14.1cm[/tex] into the formula:

[tex]A=16.1cm\cdot 14.1cm[/tex]

Multiply the numbers:

[tex]A=[/tex] [tex]227.01cm^{2}[/tex]

Therefore, the required area is equal to [tex]227.01cm^{2}[/tex].