Question

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

(Sorry for the terrible quality photos)

Answer 1

• 25 mm²

Explanation:

The pink figure has dimensions:

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

The blue figure has dimensions:

• 6 mm x 4 mm

The scale factor is the ratio of corresponding sides:

• k = 4/28 = 6/42 = 1/7

The area's scale factor is

• k² = 1/49

The area of the reduced figure is:

• 1225*1/49 = 25 mm²

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

Answer 2

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