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Pachacha [2.7K]
3 years ago
6

What is the total surface area of the drawing?

Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Total surface area equals area of 5 rectangular faces + 2 pentagonal faces


Area of 5 rectangular faces

=5 \times 6 \times 9 km^2


=270 km^2


Area of 2 pentagonal faces can be found by drawing 5 isosceles triangles with height as shown in the diagram and multiply the result by 2.


=5 \times \frac{1}{2} \times 9 \times 6.2 \times 2km^2



=279km^2



The toatal surface area is



=270+279=549 km^2


The correct answer is A




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<h3>What are congruent angles about?</h3>

An angle is known to be Congruent if its angles do have equal measure."

Note that question, In the said figure of the angles (image attached),

m ∠LOM = m ∠JKI  (congruent angles)              taken as 1      

m ∠MON = m ∠IKH  (congruent angles)             taken as 2  

The one should sum up both the side angle  of m ∠MON in (1) we obtain;

m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Then one should replace angle  m ∠MON = m ∠IKH from (eqn. 2)  on right hand side and then it will be:

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH      taken as (3)

Then:

m ∠LOM + m ∠MON = m ∠LON  ( M is said to be the interior point of ∠LON)    taken as (4)

Since m ∠JKI + m ∠IKH = m ∠HKJ  ( I is said to be the interior point of ∠HKJ)            taken as number (5)

Using Number (3) , (4) and (5)  in the image attached, we obtained:

m ∠LON = m ∠HKJ  (Congruent angles)

Therefore, Using the above conditions ; If m ∠LOM = m ∠JKI,  if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.

Learn more about Congruent angles here

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