simple geometrea

Geometry Level 3

find the perimeter P and the area A of the given shape. enter your answer as A + P. to two decimal places.


The answer is 141.65.

Aziz Alasha by Aziz Alasha , 59, Sudan

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2 solutions

Consider the diagram on the left

tan ⁡ 60 = h 6 \tan~60=\dfrac{h}{6} ⟹ \implies h = 10.392 h=10.392

cos ⁡ 60 = 6 x \cos~60=\dfrac{6}{x} ⟹ \implies x = 12 x=12

The perimeter is 5 ( 12 ) = 60 5(12)=60 .

The area is 1 2 2 − 1 2 ( 12 ) ( 10.392 ) = 81.648 12^2-\dfrac{1}{2}(12)(10.392)=81.648

A + P = 60 + 81.648 = A+P=60+81.648= 141.65 \boxed{141.65}

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Ahmad Saad
Jul 30, 2017

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