Mia needs to cut the third board to match the width of the shelter. How many feet of
board will she need to cut off the existing board to reach this goal?
To determine how much board Mia needs to cut off, we first need to know the width of the shelter and the length of the existing board. Without this information, we cannot calculate the amount of board that needs to be cut off.
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 answer the question, we need to determine the width of the shelter first. However, since the problem does not provide us with the width, we cannot calculate the amount of board that Mia needs to cut off.
Please provide the width of the shelter so that we can proceed with the calculations.
Mia will use one of these boards for the length of the shelter. She knows she wants
the length of the shelter to measure 3.25 feet. She will use a different board for the
width of the shelter. The width of the shelter will be shorter than the length
To determine the amount of board that Mia needs to cut off for the width of the shelter, we need to subtract the desired width of the shelter from the length of the existing board she plans to use.
Given:
Length of the shelter (desired): 3.25 feet
Length of the existing board: unknown
Since Mia wants the width to be shorter than the length, we can assume that she will use the 42-inch (3.5 feet) board for the length.
To convert the desired length to inches: 3.25 feet * 12 inches/foot = 39 inches.
Therefore, Mia needs to cut 42 inches - 39 inches = 3 inches off the existing board to match the width of the shelter.
For the roof of the shelter, Mia has a board that measures 1 square yard, a second
board that measures 3 feet by 3 feet, and a third board that measures 36 inches by
36 inches. Which of these, if any, will cover all the space needed for the roof?
Explain your answer, drawing a picture if necessary.
1 foot = 1/3 of a yard
To determine if any of the available boards will cover all the space needed for the roof, we need to calculate the area of the boards and compare it to the area needed for the roof.
Given:
Board 1: 1 square yard
Board 2: 3 feet by 3 feet
Board 3: 36 inches by 36 inches
1 yard = 3 feet, and 1 foot = 12 inches, so 1 yard = 36 inches.
Area of Board 1: 1 square yard = 1 yard * 1 yard = 36 inches * 36 inches = 1296 square inches
Area of Board 2: 3 feet * 3 feet = 36 inches * 36 inches = 1296 square inches
Area of Board 3: 36 inches * 36 inches = 1296 square inches
The areas of all three boards are the same, 1296 square inches. Therefore, any of these boards will cover all the space needed for the roof of Mia's shelter.