Question

find the perimeter of each figure. dimensions are in meters. all angles are right angles. 5. (9) figure with 25, 34, 5, 9 6. (9) figure with 31, 12, 25, 8

Explanation:

Step1: Analyze the perimeter formula for such shapes

For a shape with right - angles (like these L - shaped figures), we can use the property that the perimeter is equal to the perimeter of a rectangle formed by the outer length and outer width.

Step2: Calculate the perimeter for the first figure (problem 5)

The outer length is \(34\) meters and the outer width is \(25 + 9=34\) meters.
The perimeter formula for a rectangle is \(P = 2\times(\text{length}+\text{width})\). Here, \(P=2\times(34 + 25+9)\)

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Step3: Calculate the perimeter for the second figure (problem 6)

The outer length is \(25\) meters and the outer width is \(31\) meters.
Using the perimeter formula for a rectangle \(P = 2\times(\text{length}+\text{width})\), we have \(P=2\times(25 + 31)\)

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Answer:

1. \(136\) meters; 6. \(112\) meters