A trapezoid has bases of length x meters and (x+6) meters. Its height is 4 meters. Find the lenths of the bases if the area is 64 square meters. The formula for the area of a trapezoid is 1/2(base+base)h
2006-06-28 12:58:11 · 9 answers · asked by schoolboi_000 1 in Science & Mathematics ➔ Mathematics
You take 64 divide that by 4 and you get 16 then multiply 16 by 1/2 or .5 and you get 32, divide 32 by 2 because there are 2 bases and subract 6 from the answer which gives you 13=x now plug 13 in for x and you get 13 and 19 are the lengths of the bases. :-)
2006-06-28 13:05:33 · answer #1 · answered by Rose 3 · 0⤊ 1⤋
Plug the expressions for the bases plus the known height into the area formula:
(x + x + 6)*4/2 = 64
(2x + 6)*2 = 64
2x + 6 = 32
2x = 26
x = 13
13 + 6 = 19
2006-06-28 13:29:05 · answer #2 · answered by Anonymous · 0⤊ 0⤋
the base of length x meters is 13, and the base of (x+6) meters is 13+6=19 meters.
2006-06-28 13:01:50 · answer #3 · answered by eyeswideopen37880 3 · 0⤊ 0⤋
I think the length is 26 meters
2006-06-28 13:09:25 · answer #4 · answered by susan r 2 · 0⤊ 0⤋
You have your formula:
1/2*(b1 + b2)*h
So insert the values that you are given.
1/2 * (x + x + 6) * 4 = 64
2(2x + 6) = 64
4x + 12 = 64
4x = 52
x = 13
So one base has length 13, while the other has length (x+6) = 19.
2006-06-28 13:23:06 · answer #5 · answered by tdw 4 · 0⤊ 0⤋
26 meters
2006-06-28 20:06:20 · answer #6 · answered by pank_ti 2 · 0⤊ 0⤋
Thjee dimensions are
base1=13m
base2=19m
hight=4m
2006-06-28 23:34:18 · answer #7 · answered by chella 1 · 0⤊ 0⤋
64=1/2h(2x+6)
64=2(2x+6)
64=4x+12
64-12=4x
52=4x
--------
4
13=x
2006-06-28 13:01:58 · answer #8 · answered by lex 2 · 0⤊ 0⤋
Math??
F*ck no!
2006-06-28 13:00:01 · answer #9 · answered by missp_rio 2 · 0⤊ 0⤋