Answer:
(109x²+140xy+18xz+49y²+160yz+73z²) centimeters
Step-by-step explanation:
perimeter = sum of all sides
side A = (10x+7y)(10x+7y)
= 100x² +70xy +70xy +49y²
= (100x² +140xy +49y²) centimeters
side B = (3x+3z)(3x+3z)
= 9x² +9xz +9xz +9z²
= (9x² +18xz +9z²) centimeters
side C = (8z+10y)(8z+10y)
= 64z² +80yz +80yz +100y²
= (64z² +160yz +100y²) centimeters
Perimeter = 100x²+140xy+49y² + 9x²+18xz+9z² + 64z²+160yz+100y²
collect like terms
= 100x² +9x²+140xy+18xz+49y²+160yz+9z²+64z²
= (109x²+140xy+18xz+49y²+160yz+73z²) centimeters
