Hola
En el cuadrado
AB * AD = AD^2 = 225 cm^2
deducimos
AD = 15 cm
En el rectángulo grande
AH = (2/3) AD = (2/3) * 15 cm = 10 cm
AH * AE = 225 cm^2
AE = 225 cm^2 / AH
AE = 225 cm^2 / 10 cm
AE = 22.5 cm
En el rectángulo BEFG
BE = AE - AB = 22.5 cm - 15 cm = 7.5 cm
AH = 10 cm
Area BEFG = BE * AH = 7.5 cm * 10 cm
Area BEFG = 75 cm^2
*****************************
Otra manera
AH = (2/3) AD
Area ABGH = (2/3) Area ABCD = (2/3) * 225 cm^2 = 150 cm^2
Area BEFG = Area AEFH - Area ABGH
Area BEFG = 225 cm^2 - 150 cm^2 = 75 cm^2
Saludos
BEFG = HDCG por construcción
AH = 2/3 AD ⇒ AHGB = 2/3 225
y HDCG = 1/3 225 = 75 cm²
y por tanto
BEFG = 75 cm² <----------------
♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Hola
En el cuadrado
AB * AD = AD^2 = 225 cm^2
deducimos
AD = 15 cm
En el rectángulo grande
AH = (2/3) AD = (2/3) * 15 cm = 10 cm
AH * AE = 225 cm^2
AE = 225 cm^2 / AH
AE = 225 cm^2 / 10 cm
AE = 22.5 cm
En el rectángulo BEFG
BE = AE - AB = 22.5 cm - 15 cm = 7.5 cm
AH = 10 cm
Area BEFG = BE * AH = 7.5 cm * 10 cm
Area BEFG = 75 cm^2
*****************************
Otra manera
AH = (2/3) AD
Area ABGH = (2/3) Area ABCD = (2/3) * 225 cm^2 = 150 cm^2
Area BEFG = Area AEFH - Area ABGH
Area BEFG = 225 cm^2 - 150 cm^2 = 75 cm^2
Saludos
BEFG = HDCG por construcción
AH = 2/3 AD ⇒ AHGB = 2/3 225
y HDCG = 1/3 225 = 75 cm²
y por tanto
BEFG = 75 cm² <----------------
♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣