Mia is building a three-sided shelter for her action figures. The shelter will resemble a rectangle with one of the long sides removed. She has boards that measure 36 inches, 39 inches, and 42 inches in length. all the boards are the same width. Mia will need to convert some of these measurements into other imperial units to build the shelter the way she wants. Answer the following questions. Show your work. Record your answers below.
To build the three-sided shelter, Mia needs to remove one of the long sides of the rectangle. This means that she will need two boards to make up the remaining long side of the rectangle.
Let's start by finding the length of the long side. We can do this by subtracting the length of the board that will be removed from the total length of the rectangle.
Total length of the rectangle = 36 inches + 39 inches + 42 inches = 117 inches
If Mia removes the 36-inch board, the length of the remaining long side will be 117 inches - 36 inches = 81 inches.
Since Mia needs two boards to make up the long side, each board should be half of the total length of the long side.
Length of each board = 81 inches / 2 = 40.5 inches.
Therefore, Mia needs two boards that measure 40.5 inches each to make up the remaining long side of the rectangle.
Answer:
Mia needs two boards with a length of 40.5 inches each.