How do i do this? ? it’s freshman geometry

x = 3

Step-by-step explanation:

Rhombus RHOM: HM ⊥ RO and HB = BM    RB = BO

HB² + RB² = HR²

x² + (x + 1)² = (x + 2)²

x² + x² + 2x + 1 = x² + 4x + 4

x² - 2x - 3 = 0

(x + 1) ( x - 3) = 0

x = -1   not reasonable

x = 3 answer

check: 3² + 4² = 25 = 5²

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2