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Comment from student: Thank you mestrydilip. Thank you so much for responding. I worked through the problem a little differently that you did, but excited to know that I came up with the same solution. It took forever, but here is what I did: a = 1/2a (b1 + b2) area = 63 altitude = 1/2 (14) Let base 1 = b-3 Let base 2 = 2b Solve for base 1: The area (63) was given as was the altitude (14) 63 = 1/2 (14) (b-3 + 2b) Multiply 1/2 by 14 63 = 7 (b-3 + 2b) Multiply (b - 3 + b) by 7 63 = 7b-21+14b Step 1 in Isolating the variables by adding 21 on both sides 63+21 = 7b-21+21+14b Combine like terms 84 = 7b + 14b Isolate the variable by dividing 21 on both sides 84 / 21 = 21b /21 Solution b1=4 Solve for base 2: 63 is the area and we have already established that 7 is the altitude, so remove the parenthesis by multiplying by 7 63 = 7 (4+b) Step 1 in isolating the variable is subtracting 28 on both sides 63 - 28 = 28-28+ 7b Isolate the variable by dividing by 7 on both sides 35 / 7 = 7b / 7 Solution b2=5 Check the answer: 63 = 1/2 (14) (4+5) 63 = 7 (4 +5) 63 = 28 + 35 63 = 63 Comment from student: Thank you very much. This stuff is tough. Michelle |
