Question

The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b1 and b2 are the bases of the trapezoid, and h is the height of the trapezoid.

Rewrite the formula to find the base b2.

a. b2=2A-h-b1
b. b2=(2A/h)-b2
c. b2=2A*h-b1
d. b2=2((A/h)-b1)

Answer 1

Welcome to QuestionCove!

Could you make sure to include the equation given in the question?

Answer 2

oh sorry A=(b1+b2/2*h

Answer 3

A=(b1+b2/2)*h

Answer 4

\(A=(\dfrac{b1+b2}{2})*h\) Does this look right?

Answer 5

yea

Answer 6

._.

Answer 7

Okay, so we basically want to move all the other variables to the other side

We do this by performing the opposite operation. Let's start with h, how would you move h to the other side?

Answer 8

division

Answer 9

Right, we divide h on both sides

We get,

\(\dfrac{A}{h}=\dfrac{b1+b2}{2}\)

Now we can get rid of the 2, do you know how to do that?

Answer 10

multiplication leaving you
with only b1+b2 on the right sight. am right?

Answer 11

Whoops, my bad

\(\dfrac{2A}{h}={b1+b2}\)

Answer 12

is that all?

Answer 13

Now we can isolate b2

Thats out last step, do you know how to do that?

Answer 14

subtract b1?

Answer 15

Yeah

Answer 16

so b1+(2A/3)=b2
???

Answer 17

wait i mean subtract sign lol

Answer 18

b1-(2A/3)=b2

b2=(2A/3)-b1

Answer 19

Oh 2 was written the other way



\(2\dfrac Ah-b1\)

In this case they decided as \(2((\dfrac Ah)-b1)\)

Answer 20

oh ok