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A ladybug crawls around the outside of a rectangle that measures 8.5 cm by 9.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?

Sagot :

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The area of the new rectangle bound by the path of the bug is 281.99 cm²

First step is to calculate the length of the new triangle

Length=9.5cm+3.9 cm+3.9 cm

Length=17.3 cm

Second step is to calculate the width of the new triangle

Width=8.5 cm+3.9 cm+3.9 cm

Width=16.3 cm

Now let calculate the Area using this formula

Area=Length× Width

Where:

Length=17.3cm

Width=16.3cm

Let plug in the formula

Area=17.3cm×16.3cm

Area=281.99 cm²

Inconclusion The area of the new rectangle bound by the path of the bug is 281.99 cm².

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