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Help me solve the question in the picture (pls show working)

Help me solve the question in the picture (pls show working)-example-1
User Benji York
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2 Answers

9 votes
Add all the numbers
User Huruji
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8.4k points
5 votes

Answer:

92.75 cm²

Explanation:

area of polygon = area of ∆EDA + area of ∆ADC +area of ∆ACB.

area of triangles is ½×base×height.

area of ∆EDA=½×EF×AD

=½×4.5×12

=27 cm². -------->(1)

area of ∆ADC=½×AD×DC

=½×12×5

=30 cm². --------->(2)

area of ∆ACB=½×AC×BG

=½×AC×5.5

from pythagorean theorem

(AC)²=(AD)²+(CD)²

= 25+144

= 169 cm then. AC= 13 cm

then area of ∆ACB=½×5.5×13

=35.75 cm² ---------->(3)

from equation (1), (2) and (3):

then the area of polygon = 27 + 30 + 35.75

=92.75 cm²

User Tmporaries
by
7.8k points

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