the perimeter of the rectangular shaped base of a piano is 16 feet. what are all the possible dimensions of the piano using only whole numbers?
Ur just so smart
1x8
2x7
3x6 and so on.
Now in inches, which are whole numbers also, it brings up a great range of sizes, and in centimeters, which can be in whole numbers, even greater.
Measurements are in whole numbers depending on the UNIT of measurement. 1 inch is a nice whole unit of measurement, but the exact same distance is 2.54centimeter, not a WHOLE UNIT.
The problem in math is that your math teachers are forgetting what you are dealing with in the real world. Seldom is something with an associated unit. Seldom is any measurement a "whole number". We use units to express that.
How much did you earn carrying out the trash? 40. Forty what? cents? dollars? pesos? Compliments?
How for did you walk? 120 ... 120cm, 120 miles, what?
For your birthday, I will give you money? It has to be in small whole numbers, less than 10.
OK, I want 9 (trillion dollars).
Units are important, and they may be whole units, but they are not whole numbers. 9 trillion dollars is not a whole unit in Pesos.
To find all possible dimensions of the piano, we need to consider the factors of the perimeter (16 feet). In this case, we can assume that the length and width of the rectangular base are whole numbers.
Step 1: Find the factors of 16
The factors of 16 are 1, 2, 4, 8, and 16.
Step 2: Pair up the factors
We pair up the factors in order to find all possible length and width combinations. For example, if the length is 1 foot, the width will be 16 feet. If the length is 2 feet, the width will be 8 feet, and so on.
Here are the possible dimensions of the piano:
Length: 1 foot Width: 16 feet
Length: 2 feet Width: 8 feet
Length: 4 feet Width: 4 feet
Length: 8 feet Width: 2 feet
Length: 16 feet Width: 1 foot
Thus, the possible dimensions of the piano using whole numbers are:
1 foot by 16 feet
2 feet by 8 feet
4 feet by 4 feet
8 feet by 2 feet
16 feet by 1 foot