Answer:
To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together. Be sure than none of the simpler figures have overlapping areas. Example 1: Find the area of the composite shape shown below.
Step-by-step explanation:
That is an easy question.The answer to that is -15+112i.
Answer:
1)
, 2) The value of
is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Step-by-step explanation:
Let be a rectangle with a length of
feet and a width of 3 feet. The area (
), measured in square feet, and perimeter (
), measured in feet, formulas are, respectively:
![A = (2\cdot x)\cdot (3)](https://tex.z-dn.net/?f=A%20%3D%20%282%5Ccdot%20x%29%5Ccdot%20%283%29)
(Eq. 1)
(Eq. 2)
1) Now, we assume that
, then we reduce the system of linear equation into a sole linear equation:
(Eq. 3)
2) We proceed to solve for
:
![2\cdot x = 6](https://tex.z-dn.net/?f=2%5Ccdot%20x%20%3D%206)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
The value of
is 3.
3) Lastly, we obtain the values of the perimeter and area:
![A = 6\cdot (3)](https://tex.z-dn.net/?f=A%20%3D%206%5Ccdot%20%283%29)
![A = 18\,ft^{2}](https://tex.z-dn.net/?f=A%20%3D%2018%5C%2Cft%5E%7B2%7D)
![p = 4\cdot (3)+6](https://tex.z-dn.net/?f=p%20%3D%204%5Ccdot%20%283%29%2B6)
![p = 18\,ft](https://tex.z-dn.net/?f=p%20%3D%2018%5C%2Cft)
The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
The total bill that would be paid by Jan is equal to $43.125.
<u>Given the following data:</u>
- Cost of Jan’s dinner = $18.50.
- Cost of brother’s dinner = $19.00.
To determine the total bill that would be paid by Jan:
First of all, we would calculate the total cost of their dinner as follows:
![Total\;cost = 18.50 + 19.00](https://tex.z-dn.net/?f=Total%5C%3Bcost%20%3D%2018.50%20%2B%2019.00)
Total cost = $37.50
Next, we would calculate the tip cost for the total cost of their dinner:
![Tip\;cost = \frac{15}{100} \times 37.5\\\\Tip\;cost =0.15\times 37.5](https://tex.z-dn.net/?f=Tip%5C%3Bcost%20%3D%20%5Cfrac%7B15%7D%7B100%7D%20%5Ctimes%2037.5%5C%5C%5C%5CTip%5C%3Bcost%20%3D0.15%5Ctimes%2037.5)
Tip cost = $5.625
<u>For the </u><u>total bill</u><u>:</u>
![Total\;bill = Total\;cost + Tip\;cost\\\\Total\;bill = 37.5 + 5.625](https://tex.z-dn.net/?f=Total%5C%3Bbill%20%3D%20Total%5C%3Bcost%20%2B%20Tip%5C%3Bcost%5C%5C%5C%5CTotal%5C%3Bbill%20%3D%2037.5%20%2B%205.625)
Total bill = $43.125.
Read more: brainly.com/question/11285399