Question #1487f

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Answer 1 · 2017-09-21T20:41:18

8 meters

take the formula A=#(bh)/2#
A= 24
because the base is just the same thing as the height plus 2, we can write it like this:

24= #((h)(h+2))/2#

multiply both sides by 2 to cancel the fraction

48=(h)(h+2)

multiply (h) by (h+2)

48=#h^2#+2h

put everything one one side and then solve the quadratic:

#h^2#+2h - 48
(h+8)(h-6)
h = 6
6 + 2 = b
b = 8