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If the height of a trapezoid is 19.8cm, base2 is 23.3cm, and the area is 375.21cm^2, what is base1?

Also, if the height of a trapezoid is 9cm, base1 is 22cm, and the area is 135cm^2, what is base2?

Thank you.

2007-08-18 11:41:07 · 3 answers · asked by lightz_up 1 in Science & Mathematics Mathematics

3 answers

Here is a simple formula for a trapazoid

Area of Base = (Base one + Base two)Height divided by 2

375.21= (B1+23.3)19.8 divided by 2

that is how I would some what set it up as

2007-08-18 11:50:09 · answer #1 · answered by mysterious stranger 2 · 0 0

A = (1/2)h(b1 + b2)
2A/h = b1 + b2
b1 = (2A/h) - b2
b1 = (2(375.21)/19.8) - 23.3
b1 = 14.6cm

b2 = (2A/h) - b1
b2 = (2(135/9) - 22
b2 = 8cm

2007-08-18 18:56:36 · answer #2 · answered by jsardi56 7 · 0 0

375.21=1/2[23.3+base1]19.8
23.3+bzse1=375.21*2/19.8
=37.9
base1=39.5-19.8
=14.6cm

2007-08-18 19:24:32 · answer #3 · answered by Anonymous · 0 0

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