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anonymous
 one year ago
The area of a trapezoid is 144 ft 2. If the height is 8 feet and one of the bases is 12 feet, what is the length of the other base?
7.2 ft
14.4 ft
24 ft
16 ft
anonymous
 one year ago
The area of a trapezoid is 144 ft 2. If the height is 8 feet and one of the bases is 12 feet, what is the length of the other base? 7.2 ft 14.4 ft 24 ft 16 ft

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calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1The formula for finding the area of a trapezoid is: \[\frac{ 1 }{ 2 }(b_1 + b_2)\times h\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1There are some information that are already aware of and so using those information should help you find one of the base. Information that you already know: Area = 144ft^2 Height = 8 feet One of the bases (b_1) = 12 feet

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1Now what you can do is plug those information into the formula: \[\frac{ 1 }{ 2 }(12ft+b_1)\times 8ft = 144ft^2\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1Simplify this and, first, you need to distribute 1/2 to 12ft and let's keep b_1 as simply "b". \[\frac{ 1 }{ 2 }(12 ft + b) = \frac{ 1 }{ 2 }(12ft) + \frac{ 1 }{ 2 }(b) = 6 + \frac{ 1 }{ 2 }b\] Let's insert this with the remaining formula: \[6 + \frac{ 1 }{ 2 }b \times 8ft = 144ft^2\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1\[(12ft + b) \times 8ft = 144ft^2 => 4b = 132 => b = 33\] but if i do the same thing, but with 8b, then i get the value of b as 16.5 @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1it's not 8 remember we divided by 2 \[\rm \frac{ 1 }{ \cancel{2} }(12+b)\cancel{8}=4(12+b)\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.148 + 4b = 144 b = 24 right ? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes you can distribute by 4 but you don't have to i wouldn't do that \[\frac{ 4(12+b) }{ 4}=\frac{ 144 }{ 4 }\] and yes tha'ts right
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