<span>For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) /16.</span>
The area of the triangle EFG is 7.4 square units.
Explanation:
Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and ![m\angle E=22^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20E%3D22%5E%7B%5Ccirc%7D)
We need to determine the area of the triangle EFG
<u>Area of the triangle:</u>
The area of the triangle EFG can be determined using the formula,
![\text {Area}=\frac{1}{2} fg \sin E](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%20fg%20%5Csin%20E)
Substituting the values, we get,
![\text {Area}=\frac{1}{2} (5)(8) \sin 22^{\circ}](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%285%29%288%29%20%5Csin%2022%5E%7B%5Ccirc%7D)
Simplifying the values, we have,
![\text {Area}=\frac{1}{2}(40)(0.37)](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%2840%29%280.37%29)
Multiplying, we get,
![\text {Area}=\frac{14.8}{2}](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%7D%3D%5Cfrac%7B14.8%7D%7B2%7D)
Dividing, we get,
![\text {Area}=7.4](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%7D%3D7.4)
Hence, the area of the triangle EFG is 7.4 square units.
Answer: See explanation
Step-by-step explanation:
Your question isn't well written but I saw an identical question:
A bookshelf is 42 inches long. Each book is 1 1/4 inches wide. How many books will fit on the shelf?
For us to solve this, we would divide the length of the bookshelf by the width of each book. This would be:
= 42 ÷ 1 1/4
= 42 ÷ 5/4
= 42 × 4/5
= 33 3/5
Therefore, the number of books that will fit on the shelf is 33.
Hmmmt that’s a good question
Answer:
30 dollars
Step-by-step explanation:
40% of 100 = 40. 40% of 50 = 20. 50-20 = 30.