The figure is symmetric about the x- and y-axis. what is the area of the figure below

126 units²

Step-by-step explanation:

Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.

Trapezoid ABRS ≅ trapezoid IHLK

Trapezoid DEOP ≅ trapezoid FEON

Rectangle BCQR ≅ rectangle GHLM

Area of trapezoid is

Area of rectangle is  

The total area of the figure is: ( 2 × + 2 × + 2 × )

In trapezoid ABRS: = 6, = 8 and h = 3 ⇒

2 × = 2 × [3(6 + 8) ÷ 2] = 42 units²

In rectangle BCQR: l = 6 and w = 3 ⇒

2 × = 2 × (6 × 3) = 36 units²

In trapezoid DEOP: = 6, = 10 and h = 3 ⇒

2 × = 2 × [3(6 + 10) ÷ 2] = 48 units²  

= 42 + 36 + 48 = 126 units²  

a - base

b - exponent

so,

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40