Find the area of bentagone A B C D E
Below
AC=14cm , AL=9cm, Am = 7cm , AN=3cm
BL = 4cm , EN = 4cm and Dm=6cm
Answers
♡♡ANSWER:
The Given Details are ,
AC = 18 cm,
AM = 14 cm,
AN = 6 cm,
BL = 4 cm,
DM= 12cm,
EN = 9cm,
MC = AC - AM = 18- 14 = 4cm
MN = AM - AN = 14 - 6 = 8cm
Bye using the formula;
Area (pent. ABCBE) = Area ( AEN ) + area (DMC) + area ( ABC ) + area ( trap. DMNE )
Area of triangle = 1/2 ×b × h
Area of trapezium = 1/2 × ( sum of parellel sides) × height
°.° lets calculate ,
area ( AEN ) = 1/2 ( AN) × (EN) = 1/2 ×6×9
= 27 cm^
area ( DMC ) = 1/2 (MC)× (DM) = 1/2 ×4×12
= 24cm ^
area ( ABC ) = 1/2 (AC) ×( BL) = 1/2 ×18×4
= 36cm ^
are ( trap. DMNE) = 1/2 ×( DM + EN ) × MN =1/2 ×( 12 + 9) × 8 = 84 cm^
°.° Area ( pent. ABCDE ) area ( AEN ) + area ( DMC ) + area ( ABC ) area ( trap. DMNE )
= 27 + 24+ 36 + 84
= 171 cm ^
answer = 171cm ^