If a=4, b=5, and 2(ab +bc + ca)=202, find the value of c

c = 9

Step-by-step explanation:

First we need to substitute in our known values:

2 ((4X5) + 5c + 4c) = 202

Next we can do the inner multiplication and combine our like terms:

2( 20 + 9c) = 202

Now we distribute the 2:

40 + 18c = 202

Subtract 40 from both sides:

18c = 162

Lastly, divide both sides by 18 to get:

c = 9

Check our work:

2 ((4X5) + (5X9) + (9X4)) = 202

2(20 + 45 + 36 ) = 202

2(101) = 202

202 = 202

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step-by-step explanation:

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