Mickaeldanggalanidn
Answered

IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga maaasahang sagot. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

Shown in the diagram is a vacant lot where the corners are right angles. The lot is divided into two along EGAT-30 meters, EF-60 meters and ED- 40 meters. If the perimeter of AGEF and GBCDE are equal, how long is GB.

Shown In The Diagram Is A Vacant Lot Where The Corners Are Right Angles The Lot Is Divided Into Two Along EGAT30 Meters EF60 Meters And ED 40 Meters If The Peri class=

Sagot :

Mlcparra16idn
Since AF=30 and ED=40 we can say that BC=70 (since 30+40=70)

The perimeter of AGEF = AG + EG + EF + AF while
GBCDE = BG + EG + DE + CD + BC

P (AGEF) = P (GBCDE)
AG + EG + EF + AF = BG + EG + DE + CD + BC
We cancel the common EG
AG + EF + AF = BG + DE + CD + BC
We then substitute the values available to us
AG + 60 + 30 = BG + 40 + CD + 70
AG + 90 = BG + CD + 110
AG = BG + CD + 20

Let us then plot a point H, just extend line DE. We would then get that AG = AH + GH and CD = BG + GH

(AH + GH) = BG + (BG + GH) + 20
60 + GH = 2BG + GH + 20
We then cancel the common GH
60 = 2BG + 20
We subtract 20 from both sides
40 = 2BG
We divide both sides by 2
20 = BG

Final answer: BG is 20 meters long.

* please use the diagram attached as reference
View image Mlcparra16
Natutuwa kami na ikaw ay bahagi ng aming komunidad. Patuloy na magtanong at magbahagi ng iyong mga ideya. Sama-sama tayong lumikha ng isang mas matibay na samahan. Ang IDNStudy.com ay nangako na sasagutin ang lahat ng iyong mga tanong. Salamat at bisitahin kami palagi.