The answer is [tex]b_2[/tex] = 5.
Step-by-step explanation:
Given,
[tex]A=\frac{1}{2}h(b_{1}+b_{2})\\[/tex]
A = 16,
h = 4
[tex]b_1[/tex] = 3
Putting values in given formula;
[tex]16=\frac{1}{2}*4(3+b_2)\\16=\frac{4}{2}(3+b_2)\\16=2(3+b_2)\\16=6+2b_2\\[/tex]
Subtracting 6 from both sides
[tex]16-6=6-6+2b_2\\10=2b_2\\[/tex]
Dividing both sides by 2
[tex]\frac{2b_2}{2}=\frac{10}{2}\\b_2=5[/tex]
The answer is [tex]b_2[/tex] = 5.
Keywords: Division, Subtraction
Learn more about subtraction at:
- brainly.com/question/5527192
- brainly.com/question/5528742
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