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In the diagram all the angles shown are right angles. The length of AB=4 and BC=5 as indicated in the diagram. What is the perimeter of the entire figure?

In the diagram all the angles shown are right angles The length of AB4 and BC5 as indicated in the diagram What is the perimeter of the entire figure class=

Respuesta :

The perimeter of the entire figure would be 18.

Answer: choice C, 18

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Explanation:

We don't know how long each little horizontal piece is, but we do know that the smaller horizontal pieces combine to fully span 5 units across. The top and bottom sides effectively are both 5 units long. Think of a rectangle. Similarly, the same happens with the vertical pieces as well. They combine to get 4.

We have a figure with a perimeter similar to a rectangle that is 4 by 5, the perimeter being 4+5+4+5 = 9+9 = 18

Alternatively, you can use the formula

P = 2*L + 2*W or P = 2*(L+W)

Plug in L = 5 and W = 4 as the length and width to get P = 18 for the perimeter

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