I need assisatnce with this. I do not want the answer I just want some guidence on how I should start it.
The width of a rectangle is 5 ft, its length is (3x+2) ft, and its area is 75 ft². Find x
Just set up an equation:
area = width * length
75 = 5 * (3x+2)
. . .
That's what I thought but what about the 75 being squared does that make a difference?
To find x, you need to use the information given about the rectangle's width, length, and area.
First, you know that the width of the rectangle is 5 ft. So, you can write down the equation:
Width = 5 ft
Next, the length is given as (3x+2) ft. Now, you can write another equation:
Length = 3x + 2 ft
The area of a rectangle is calculated by multiplying its length by its width. In this case, the area is given as 75 ft². So, you can write the equation:
Area = Length * Width = 75 ft²
Now, you have a system of two equations with two unknowns (x and Length). To solve for x, you need to substitute the given values into the equations and solve simultaneously.
1. Substitute the values into the equations:
Width = 5
Length = 3x + 2
Area = 75
2. Rewrite the area equation using the substitution:
Width * Length = 75
5 * (3x + 2) = 75
3. Simplify and solve for x:
15x + 10 = 75
15x = 75 - 10
15x = 65
x = 65/15
x = 13/3
Therefore, x = 13/3 is the solution.