A triangle has side lengths of (8f+g) centimeters, (4f-5h) centimeters, and (9h+7g) centimeters. Which expression represents the perimeter, in centimeters of the triangle? Answer 2h+10g+12f -fh+9fg+16gh 8g+12f+4h 21fh+3gh

## Step 1<br />The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the sides of the triangle are given by the expressions \( (8f+g) \), \( (4f-5h) \), and \( (9h+7g) \).<br /><br />## Step 2<br />To find the perimeter, we add these expressions together:<br /><br />### \( (8f+g) + (4f-5h) + (9h+7g) \)<br /><br />## Step 3<br />Next, we simplify this expression by combining like terms:<br /><br />### \( 8f + 4f + g + 7g - 5h + 9h \)<br /><br />## Step 4<br />This simplifies to:<br /><br />### \( 12f + 8g + 4h \)