Question

Help please!! What is the answer?

Answer 1

The area formula for a parallelogram is the same as it is for a square or a rectangle.  It's A = b*h.  They give you the area and the height, and x is part of the radicand for the base.  Set it up like this: $42= \sqrt{x+6} *7$.  Divide both sides by 7 to get $6= \sqrt{x+6}$.  Now, the opposite of a square root is squaring, so let's undo that square root by squaring.  But because this is an equation, if you square the right you also have to square the left. $(6) ^{2}=( \sqrt{x+6}) ^{2}$.  Squaring that square root undoes the square root, so now what we have is 36 = 6 + x, and 30 = x.  There you go!