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
area = length x width
so ...
5(3x+2) = 75
expand, then solve for x,
That's what I was thinking as well but the 75 being squared is throwing me off. Do I need to write it as
5(3x+2)=75²?
no, just keep it as 75
they are square units, and the left side of the equation is also in square units
15x + 10 = 75
15x = 65
x = 65/15 = 13/3
then your length is 3(13/3) + 2 = 15
check:
5x15 = 75
Thank you!! That's what I thougth but I was thrown off by the square root.
To find the value of x, we need to use the given information about the width, length, and area of the rectangle.
First, let's write down the formula for the area of a rectangle, which is length multiplied by width:
Area = Length × Width
In our case, the area is given as 75 ft² and the width is given as 5 ft. So we can write:
75 = (3x + 2) × 5
Now, our goal is to solve this equation for x.
To do that, we can follow these steps:
1. Distribute the 5 to the terms inside the parentheses:
75 = 15x + 10
2. Subtract 10 from both sides of the equation to isolate the term with x:
75 - 10 = 15x
Simplifying:
65 = 15x
3. Divide both sides of the equation by 15 to solve for x:
65/15 = x
So, x = 4.33 (approximately).
Therefore, x is approximately equal to 4.33.