Question

In the 8-sided figure below, adjacent sides meet at right angles and the lengths are given are in meters. What is the perimeter of the figure, in meters?




40
40

80
80

120
120

160
160

400
400

Answer 1

Answer:

80

Step-by-step explanation:

Look at the figure below. The perimeter is the same as if the corners were moved out to form a square. Then you have 4 congruent sides of length 20.

P = 4 * 20 = 80

Answer 2

The perimeter of a shape is the summation of the sides of the shape. The perimeter of the shape is 80 units.

From the attached figure, we have the following observations

• All sides of the shape are either vertical or horizontal line
• None of the side lengths overlaps

This means that if the shape is drawn (see attachment) to have 4 sides, opposite sides of the shape will be congruent.

The first side length is:

$Length = 20$

While the adjacent side length is:

$Width = 12 + 8 =20$

The perimeter (P) of the shape is then calculated as follows:

$P = 2 \times (Length + Width)$

$P = 2 \times (20 + 20)$

$P = 2 \times 40$

$P = 80$

Hence, the perimeter of the shape is 80 units.

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