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satela [25.4K]
1 year ago
8

If AB=BC=CD what is the area of the green region? please show full workings ​

Mathematics
1 answer:
Romashka-Z-Leto [24]1 year ago
3 0

The area of the green region is of:

9 units².

<h3>How to obtain the area of the green region?</h3>

The base is composed by three equal segments, hence their lengths are given as follows:

AB = BC = CD = 9/3 = 3.

The heights are given as follows:

  • B = 2.
  • C = 4.
  • D = 6.

As they are proportional.

The green region is composed by:

  • A rectangle of dimensions 3 and 2.
  • A right triangle of sides 3 and 2.

The area of the rectangle is given by the multiplication of the dimensions, hence:

Ar = 3 x 2 = 6 units².

The area of the triangle is given by half the multiplication of the dimensions, hence:

At = 0.5 x 3 x 2 = 3 units².

Then the area of the green region is given by:

A = Ar + At = 6 + 3 = 9 units².

More can be learned about the area of a figure at brainly.com/question/25292087

#SPJ1

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