Question

A área do trapézio abaixo é 48m. A base Ab= x + 4 é igual a :

Answer 1

Bom dia Kam!

Solução!

Para calcular os valores de x que são as bases do trapezio basta usar essa formula.

$A= \dfrac{(B+b).h}{2} \\\\\ Dados!\\\\\\ B=(x+4)\\\\\\ b=x\\\\\\ h=6\\\\\\ Area=48\\\\\\ Agora~~e~~so~~substituir~~na~~formula.$

$48= \dfrac{(x+4)+x).6}{2}\\\\\ 96=(2x+4).6\\\\\\ 96=12x+24\\\\\ 96-24=12x\\\\\ 72=12x\\\\\ x= \dfrac{72}{12}\\\\\\ x=6 \\\\\\ Logo!\\\\\ Base~~maio=(6+4)=10m\\\\\ base~~menor=6m$

Bom dia!

Bons estudos!