The total area of the polygon is 176 square feet. Find the value of x. x= ft

x = 6 ft

Step-by-step explanation:

Area of the polygon = area of the square + 2(area of the triangle)

Area of the polygon = 176 ft²

Area of the square = length × width = 16 × 8 = 128

Area of the two triangles = 2(½*base*height) 2(½*x*8) = 8x

Plug in the above values into the equation for area of the polygon. Thus:

176 = 128 + 8x

Subtract 128 from each side

176 - 128 = 8x

48 = 8x

Divide both sides by 8

6 = x

x = 6 ft