A ladybug crawls around the outside of a rectangle that measures 5.5 cm by 8.5 cm. The ladybug stays exactly 3.5 cm from the rectangle at all times to form a larger figure.
What is your question?
What’s the area of the rectangle made by the bug
To find the shape formed by the ladybug when it stays exactly 3.5 cm from the rectangle at all times, we need to draw a new rectangle around the original rectangle, maintaining the distance of 3.5 cm between the ladybug and the original rectangle.
Here's how you can do it:
1. Start by drawing the original rectangle with dimensions 5.5 cm by 8.5 cm.
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2. From each corner of the original rectangle, extend a line segment 3.5 cm outward. This line represents the path of the ladybug as it crawls around the rectangle while staying 3.5 cm away.
Choose a corner. Let's start with the upper left corner.
Draw a line segment that extends 3.5 cm from this corner, parallel to the respective side of the original rectangle. Repeat this for each corner of the original rectangle.
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3. Connect the outermost points of the line segments using straight lines to form a new rectangle.
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4. The resulting shape formed by the ladybug's path is a larger rectangle, with dimensions 12.5 cm by 15.5 cm.
Therefore, the ladybug forms a larger rectangle measuring 12.5 cm by 15.5 cm when it crawls around the outside of the original rectangle while staying exactly 3.5 cm away.