Hello there! Your answer would be 1/4.
So to start, count up the total number of sections, and the number of red sections. There are 16 sections total, and 4 of them are red.
This can give us the ratio 4/16.
But next we need to simplify. What is the biggest number that can be divided by both 4 and 16? 4. So, divide both 4 and 16 by 4 to get your simplified answer.
4÷4/16÷4
1/4
So, the ratio of red sections to total sections, in lowest terms is 1/4.
Using the side of the square find the area:
Area = 30^2 = 900 square feet.
The rectangles area is the same, 900 square feet.
Let the width = X
The length would be 2X + 70
Area = length x width
X * 2x+ 70 = 900
This expands to 2x^2 * 70x = 900
Use the quadratic formula to solve for x:
-70 +/- sqrt(70^2-4*2(-900))/2*2
X = 10
Width = x = 10 feet
Length = 2x + 70 = 90 feet
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Answer:
Figure 3: 28.5 units²
Figure 4: 33 units²
Figure 5: 25 units²
Figure 6: 30 units²
Figure 7: 25 units²
Figure 8: 32 units²
Reasons:
Figure 3 consists of<u> </u><u>2</u> shapes, A <u>rectangle </u>and a <u>square</u>
████████ ◣
rectangle: ████████ triangle: █◣
████████ ██◣
rectangle:
to calculate a <em><u>rectangle's </u></em>area: multiply the lengths of the width and height:
████████= width 8 █
█ =height 3
█
![area=w(h)](https://tex.z-dn.net/?f=area%3Dw%28h%29)
now substitute the values of W and H:
![8(3)=24](https://tex.z-dn.net/?f=8%283%29%3D24)
<u>rectangle area = </u><u>24</u>
Triangle:
to find the area of a <u><em>triangle</em></u>, multiply the width and height and divide by two:
◣ + ◣ = █ 0.5 + 0.5 = 1
█
███=width 3 █ =height 3
█
![area=\frac{w(h)}{2}](https://tex.z-dn.net/?f=area%3D%5Cfrac%7Bw%28h%29%7D%7B2%7D)
now substitute W and H
![area=\frac{3(3)}{2}](https://tex.z-dn.net/?f=area%3D%5Cfrac%7B3%283%29%7D%7B2%7D)
![area\frac{9}{2}](https://tex.z-dn.net/?f=area%5Cfrac%7B9%7D%7B2%7D)
<u>Triangle area:</u><u> 4.5</u>
Now add the Rectangle Area To the triangle Area:
4.5 + 24 = 28.5
Final answer:
AREA =2 8.5
hope this helps!
Answer:
4
Step-by-step explanation: