Marjorie has 28 feet of trim to use as edging on a rectangular blanket she wants to make. What is the length and width of two blanket sizes she could make
P = 2W + 2W
8 by 6
9 by 5
7 by 7
Bit tough for 3rd grade homework.
I'm struggling rn and plus I don't know this stuff ! This is not for 3rd grade !
To determine the possible dimensions of the rectangular blanket, we need to use the given information that Marjorie has 28 feet of trim available for edging.
Let's consider the length and width of the two different blanket sizes:
1. **First Option:**
Let's assume the length of the blanket is "x" feet. Since there are two lengths and two widths that require edging, the total length of trim used for both lengths will be 2x feet.
Similarly, let's assume the width of the blanket is "y" feet, so the total length of trim used for both widths will be 2y feet.
According to the problem, the total trim available is 28 feet.
So, the equation becomes:
2x + 2y = 28
2. **Second Option:**
Let's consider another combination by assuming the width to be "x" feet and the length to be "y" feet.
In this case, the total length of trim used for both widths will be 2x feet, and the total length of trim used for both lengths will be 2y feet.
The equation becomes:
2x + 2y = 28
Now we can solve both equations to find the possible dimensions for the rectangular blanket.
For the first option, rearranging the equation, we get:
2x = 28 - 2y
x = (28 - 2y) / 2
x = 14 - y
Substituting this value of "x" in the equation 2x + 2y = 28:
2(14 - y) + 2y = 28
28 - 2y + 2y = 28
28 = 28
The equation holds true, which means there are infinite solutions for the first option. The length and width can have any values that satisfy the equation.
For the second option, rearranging the equation, we get:
2y = 28 - 2x
y = (28 - 2x) / 2
y = 14 - x
Substituting this value of "y" in the equation 2x + 2y = 28:
2x + 2(14 - x) = 28
2x + 28 - 2x = 28
28 = 28
Similar to the first option, the second option also has infinite solutions. The length and width can have any values that satisfy the equation.
Therefore, there is an infinite number of lengths and widths for two different blanket sizes that Marjorie can make with 28 feet of trim.