Look at the figure below.
An irregular shape is made of 2 rectangles. The lower rectangle is 8 feet long and 1 foot wide. Centered on top of it is another rectangle that is 2 feet wide and an unknown length. The top rectangle is 1 foot shorter in length than the lower rectangle on both sides. The 2 rectangles form 1 shape.
Part A
Find the length of the missing side. Enter your answer in the box.
The missing side is
feet.
Since the top rectangle is 1 foot shorter in length than the lower rectangle on both sides, the top rectangle's length must be 8 - 1 - 1 = 6 feet. So, the missing side is 6 feet.
To find the length of the missing side, we need to use the information given in the problem.
Let's start by visualizing the shape described in the problem:
┏━━━━━━━━━━━┓
┃ ┃
┃ ┃
┃ ┃
┃ lower rectangle ┃
┃ ┃
┌──────┃ ┃──────┐
┌───┐ ┃ ┃ ┌───┐
┃ ┃ ┃ top rectangle ┃ ┃ ┃
└───┘ ┗━━━━━━━━━━━┛ └───┘
Based on the description, the lower rectangle is 8 feet long and 1 foot wide, while the top rectangle is 2 feet wide.
It is mentioned that the top rectangle is 1 foot shorter in length than the lower rectangle on both sides.
Since the lower rectangle is 8 feet long, the top rectangle will be 8 - 1 - 1 = 6 feet long on both sides.
Now, to find the length of the missing side, we need to determine the sum of the lengths of both rectangles.
The lower rectangle is 8 feet long, and the top rectangle is 6 feet long on both sides. This means that the sum of their lengths is:
8 + 6 + 6 = 20 feet
Therefore, the missing side of the shape is 20 feet long.
To find the missing side of the top rectangle, we can start by finding the length of the lower rectangle.
The given length of the lower rectangle is 8 feet. The top rectangle is 1 foot shorter in length on both sides. Therefore, the length of the top rectangle would be 8 - 1 - 1 = 6 feet.
Now, we know that the width of the top rectangle is 2 feet.
Finally, to find the missing side, we can subtract the width of the top rectangle from the length of the top rectangle: 6 - 2 = 4 feet.
Therefore, the missing side is 4 feet.