The equation below shows the area of a trapezoid, A, with a height of 9 cm, and one base 35 cm.
A = 9 over 2(b + 35)
Which of the following formulas correctly solves for the other base, b?
b = 2A over 9 + 35
b = 2 multiplied by A over 9 − 35
b = 2 multiplied by A plus 35, all over 9
b = 2 multiplied by A minus 35, all over 9
I'm having a tough time with this one someone help me please
this doesnt help me i dont understand
To solve for the other base, b, we need to rearrange the equation.
The correct formula that solves for b is:
b = 2 multiplied by A minus 35, all over 9.
So, the correct answer is:
b = 2A - 35 over 9.
To solve for the other base, b, in the equation A = 9/2(b + 35), we need to isolate b on one side of the equation. Let's go through each option and determine which one correctly solves for b:
Option 1: b = 2A/9 + 35
To isolate b, we need to subtract 35 from both sides of the equation:
b -35 = 2A/9
This equation is not equivalent to the original equation, so option 1 is incorrect.
Option 2: b = 2A/9 - 35
Similarly, to isolate b, we subtract 35 from both sides of the equation:
b - 35 = 2A/9
Again, this equation is not equivalent to the original equation, so option 2 is incorrect.
Option 3: b = 2A + 35/9
To isolate b, we multiply both sides of the equation by 9 to get rid of the fraction:
9b = 2A + 35
Subtracting 35 from both sides:
9b - 35 = 2A
Now, we divide both sides by 9 to solve for b:
b = (2A - 35) / 9
This equation is equivalent to the original equation, so option 3 is correct.
Option 4: b = 2A - 35/9
Following the same steps as above, we would end up with:
b = (2A - 35) / 9
This equation is also equivalent to the original equation, so option 4 is correct.
Therefore, both option 3 and option 4 correctly solve for the other base, b, in the given equation.
A = 9/2 (b+35)
2A/9 = b+35
2A/9 - 35 = b