Question #d575c

2 Answers

Answer:

The formula for a rectangle is A=bh. A trapezoid has a different top and bottom, but a constant height. If you average the top and bottom lengths #((b1 + b2)) / 2#, you can use this as the base and find the area of the trapezoid.

Explanation:

The official formula is #A = ½ h (b1+b2).# This is the same thing, but rearranged. It is easier than it looks.

Apr 19, 2017

Answer:

#color(blue)(h) = (2A)/((b_1+b_2))#

Explanation:

To change the formula around, I like to have the 'subject' on the left side first and then keep it there, getting rid of all the other variables and numbers bit by bit.

#1/2color(blue)(h)(b_1+b_2) = A#

To get rid of #1/2#, multiply both sides by #2# and cancel.

#cancel2xx 1/cancel2color(blue)(h)(b_1+b_2) = 2xxA" "# this leaves:

#color(blue)(h)(b_1 +b_2) = 2A#

Now, to get the #color(blue)(h)# on its own, divide by the whole bracket.

#color(blue)(h) = (2A)/((b_1+b_2))#