I had posted this problem with you before and the answer given was 2b =A/h.
The problem is: A = 1/2bh, which is not correct?
Choices: 2A =bh, b=2A/b, 2b=A/h, b=2A/h
When I got my test back 2b=A/h was correct. Did I make a mistake or was their answer incorrect?
take the original true equation
A = (1/2)bh
then 2A = bh is the true statement after multiplying each side by 2
now take each of the answers and simplify by cross-multiplying
1st is obviously correct
2nd: b = 2A/b ---> b^2 = 2a , incorrect
3rd: 2b = A/h ----> 2bh = A, incorrect
4th: b = 2A/h ---> bh = 2A, correct
The way you typed it, there are two incorrect.
Do you have a typo in the 2nd ?
In order to determine whether there was a mistake in your previous answer or if the provided answer was incorrect, let's go through the problem step by step.
The problem statement is: A = 1/2bh, and we need to find an equivalent expression for b.
To isolate b, we can start by multiplying both sides of the equation by 2, which gives us:
2A = bh
Now, we have eliminated the fraction. To isolate b, we can divide both sides of the equation by h:
(2A)/h = b
So, the correct answer, based on our steps, should be b = (2A)/h.
Since you mentioned that the correct answer given in your test was 2b = A/h, it seems that there might have been a mistake in the answer key or misunderstanding with the question. In the given answer, the equation is rearranged differently by multiplying both sides by 2 and switching the positions of b and A. Although both expressions are mathematically equivalent, the answer provided on your test does not match the steps we went through.