Question

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

Answer 1

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = $\frac{1}{2}(\text{Base})(\text{Height})$

                                                              = $\frac{1}{2}(x)(8)$

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = $\frac{48}{8}$

x = 6 ft

Answer 2

Answer:

The answer is six to one of the sides

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 =

                                                             =

                                                             = 4x square feet

Area of rectangle 2 = Length × Width

                                = 16 × 8

                                = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x =

x = 6 ft