Question

Ajudem por favorrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer 1

area = 200cm² 

200cm² é a soma da area de todos os retangulos da figura 

area = base * altura

o primeiro retangulo de baixo tem base = 3x e altura = x
$area_{(1)}= 3x*x\\\\area_{(1)}= 3x^2$

o retangulo em cima desse tem 
base = 2x e altura= x 
$area_{(2)}= 2x*x\\\\area_{(2)}= 2x^2$

o outro retangulo tem 
base =x e altura = x
$area_{(3)}= x*x\\\\area_{(3)}= x^2$

e o ultimo retangulo de cima tem
base = 2x altura = x
$area_{(4)}= 2x*x\\\\area_{(4)}= 2x^2$

a soma das área é = 200

$200=area_{(1)}+area_{(2)}+area_{(3)}+area_{(4)}\\\\200=3x^2+2x^2+x^2+2x^2\\\\200=(3+2+1+2)*x^2\\\\200=8x^2\\\\ \frac{200}{8} =x^2\\\\25=x^2\\\\ \sqrt{25} =x\\\\5=x$