A ladybug crawls around the outside of a rectangle that measures 8.5 cm by 9.5 cm. The ladybug stays exactly 3.6 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?
L = 3.6 + 9.5 + 3.6 = 16.7 cm.
W = 3.6 + 8.5 + 3.6 = 15.7 cm.
A = L*W = 16.7 * 15.7 = cm^2.
A ladybug crawls around the outside of a rectangle that measures 6.5 cm by 8.5 cm. The ladybug stays exactly 3.2 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?
Well, let me tell you, that ladybug sure knows how to create some fancy artwork with its crawling skills! Now, to figure out the area of the new rectangle bound by the path of the bug, we need to do some calculations.
Since the ladybug stays exactly 3.6 cm from the rectangle at all times, it forms an outer rectangle that is 7.2 cm longer and 7.2 cm wider than the original rectangle. So, the dimensions of the new rectangle would be 15.7 cm by 16.7 cm.
To find the area, we simply multiply the length and width together. So, the area of the new rectangle is 15.7 cm * 16.7 cm = 261.19 square centimeters.
So there you have it, the area of the new rectangle is 261.19 square centimeters. That's one creative ladybug!
To find the area of the new rectangle bound by the path of the bug, we need to subtract the area of the original rectangle from the area of the larger figure.
Step 1: Find the area of the original rectangle:
The original rectangle measures 8.5 cm by 9.5 cm. The formula to find the area of a rectangle is A = length × width. So the area of the original rectangle is 8.5 cm × 9.5 cm = 80.75 cm².
Step 2: Find the dimensions of the larger figure:
The ladybug stays exactly 3.6 cm from the rectangle at all times, forming a new rectangle that has increased dimensions.
To find the new length of the larger figure, we need to add the twice the distance (3.6 cm) to the original length (8.5 cm). So the new length is 8.5 cm + 2 × 3.6 cm = 15.7 cm.
Similarly, to find the new width of the larger figure, we need to add the twice the distance (3.6 cm) to the original width (9.5 cm). So the new width is 9.5 cm + 2 × 3.6 cm = 16.7 cm.
Step 3: Find the area of the larger figure:
The formula to find the area of a rectangle is A = length × width. So the area of the larger figure is 15.7 cm × 16.7 cm = 261.19 cm².
Step 4: Find the area of the new rectangle bound by the path of the bug:
To find the area of the new rectangle, we subtract the area of the original rectangle from the area of the larger figure. So the area of the new rectangle is 261.19 cm² - 80.75 cm² = 180.44 cm².
Therefore, the area of the new rectangle bound by the path of the bug is 180.44 cm².