area A = (3a-1)*(5a-5)-(4a-6)(a-1)
A = (15a^2-5a-15a+5)-(4a^2-6a-4a+6)
A = 11a^2-10a-1
costo pavimentazione C = 99*(11*2,2^2-22-1) = 2.993,76 €
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a)
Area del pavimento in funzione di $\small a:$
$\small A= (a+1+4a-6)(2a+a-1)-(4a-6)(a-1)$
$\small A= (5a-5)(3a-1)-(4a^2-4a-6a+6)$
$\small A= (15a^2-5a-15a+5)-(4a^2-10a+6)$
$\small A= 15a^2-20a+5-4a^2+10a-6$
$\small A= 11a^2-10a-1$
b)
Area del pavimento con $\small a= 2,2\,m^2;$
$\small A= 11a^2-10a-1$
$\small A= 11×2,2^2-10×2,2-1$
$\small A= 11×4,84-22-1$
$\small A= 53,24-23$
$\small A= 30,24\,m^2$
costo pavimentazione IVA compresa:
$\small C= 30,24×90\left(1+\dfrac{10}{100}\right)$
$\small C= 2721,6×1,1 = 2993,76$ €.