To solve this problem you must apply the proccedure shown below:
1. The perimeter of a rectangle can be calculated with the following formula:
[tex] Perimeter=2Width+2Length [/tex]
2. The width is:
[tex] Tan\alpha=opposite/adjacent\\Tan(72)=12/W\\ W=(12)(Tan(72))\\ W=3.89 in [/tex]
3. Now, you must substitute the values into the formula for calculate the perimeter:
[tex] Perimeter=2(3.89in)+2(12in)\\ Perimeter=31.78in [/tex]
Therefore, the answer is: [tex] 31.78 in [/tex]
Answer:
32in (rounded) 31.78 (original answer)
Step-by-step explanation:
31.78in rounded to the nearest inch is 32in.
