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LiRa [457]
3 years ago
8

Consider the reduction of the complex figure with a scale factor of . What is the area of the reduced figure?

Mathematics
2 answers:
I am Lyosha [343]3 years ago
7 0

26mm² is area of complex figure.

Answer:

solution:in rectangle

length[l]=6mm

breadth [b]=4mm

area of rectangle=l×b=6×4=20mm²

again in triangle

height[h]=6/2=3mm

base[b]=4mm

area of triangle =1/2 b×h=1/2×3×4=6mm²

total area of composite figure=20mm²+6mm²

=26mm²

Mnenie [13.5K]3 years ago
6 0

Answer:

  • 25 mm²

Step-by-step explanation:

<u>The pink figure has dimensions:</u>

  • 42 mm x 28 mm and the area of 1225 mm²

<u>The blue figure has dimensions:</u>

  • 6 mm x 4 mm

<u>The scale factor is the ratio of corresponding sides:</u>

  • k = 4/28 = 6/42 = 1/7

<u>The area's scale factor is </u>

  • k² = 1/49

<u>The area of the reduced figure is:</u>

  • 1225*1/49 = 25 mm²

<u><em>note</em></u><em>. It was answered based on the additional information given in the comments (though 41 mm should be 42 mm)</em>

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