SOLUTION: The area of a trapezoid is given by the formula A=1/2 h(B + b). Solved for b, this formula becomes b =

Algebra ->  Functions -> SOLUTION: The area of a trapezoid is given by the formula A=1/2 h(B + b). Solved for b, this formula becomes b =       Log On


   

Question 886198: The area of a trapezoid is given by the formula A=1/2
h(B + b). Solved for b, this formula becomes b =
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+A+=+%281%2F2%29%2Ah%2A%28+B+%2B+b+%29+
Multiply both sides by +2+
+2A+=+h%2A%28+B+%2B+b+%29+
Divide both sides by +h+
+%28+2A+%29+%2F+h+=+B+%2B+b+
Subtract +B+ from both sides
+%28+2A+%29+%2F+h+-+B+=+b+
And now you can write it in reverse order:
+b+=+%28+2A+%29+%2F+h+-+B+
------------------------
You can check it
Suppose
+h+=+4+
+B+=+3+
+A+=+8+
--------------
+A+=+%281%2F2%29%2Ah%2A%28+B+%2B+b+%29+
+8+=+%281%2F2%29%2A4%2A%28+3+%2B+b+%29+
+2%2A8+=+5%2A%28+3+%2B+b+%29+
+3+%2B+b+=+%28+2%2A8+%29%2F4+
+b+=+16%2F4+-+3+
+b+=+1+
-----------------------
And now:
+b+=+%28+2A+%29+%2F+h+-+B+
+b+=+%28+2%2A8+%29+%2F+4+-+3+
+b+=+16%2F4+-+3+
+b+=+4+-+3+
+b+=+1+
OK