The problem describes a gate made of 7 wooden panels, each 15.7 cm wide, with gaps of 14.9 cm between each panel. We need to calculate the total width of the gate.

1. Problem Description

The problem describes a gate made of 7 wooden panels, each 15.7 cm wide, with gaps of 14.9 cm between each panel. We need to calculate the total width of the gate.

2. Solution Steps

First, we need to calculate the total width of the wooden panels. Since there are 7 panels, each 15.7 cm wide, the total width of the panels is:

$7 \times 15.7$

Then, we need to calculate the total width of the gaps between the panels. Since there are 7 panels, there are 6 gaps between them. Each gap is 14.9 cm wide, so the total width of the gaps is:

$6 \times 14.9$

Finally, we add the total width of the panels and the total width of the gaps to find the total width of the gate:

Total width = (Total width of panels) + (Total width of gaps)

Total width $= (7 \times 15.7) + (6 \times 14.9)$

Now, let's calculate the values:

$7 \times 15.7 = 109.9$

$6 \times 14.9 = 89.4$

Total width $= 109.9 + 89.4 = 199.3$

3. Final Answer

The total width of the gate is 199.3 cm.