The area of a trapezoid is equal to half of the product of the height and sum of the bases. How do you rewrite the expression isolating one of the bases?

All you have to do is solve for either a or b:

#a + b = 2*(A/h)=> a = 2*(A/h) - b#

To isolate one of the bases in the given expression, we can rearrange the formula for the area of a trapezoid. The formula for the area of a trapezoid is:

[ A = \frac{1}{2}h(b_1 + b_2) ]

Where:

• ( A ) is the area of the trapezoid,
• ( h ) is the height of the trapezoid,
• ( b_1 ) is one base of the trapezoid, and
• ( b_2 ) is the other base of the trapezoid.

To isolate ( b_1 ), we can start by multiplying both sides of the equation by 2 to get rid of the fraction:

[ 2A = h(b_1 + b_2) ]

Next, divide both sides of the equation by ( h ) to isolate the term containing ( b_1 ):

[ \frac{2A}{h} = b_1 + b_2 ]

Finally, to isolate ( b_1 ), subtract ( b_2 ) from both sides of the equation:

[ b_1 = \frac{2A}{h} - b_2 ]

So, the expression isolating one of the bases (( b_1 )) is ( b_1 = \frac{2A}{h} - b_2 ).