*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon: 
square units
(22)
Similar to (21)
Area = 
square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:
Hence, area of the hexagon will be: 
square units
(24)
Given is the inradius of an equilateral triangle.
Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle = 
square units
Answer:
nope
Step-by-step explanation:
Answer: 2x² + 1
<u>Explanation:</u>
<u> 2x² + 0x + 1 </u>
3x + 2 ) 6x³ + 4x² + 3x + 2
- <u>(6x³ + 4x²</u>) ↓ ↓
3x + 2
- <u>(3x + 2)</u>
0
Answer:
Hi! I think I got the answer, it is a tricky one! The answer I got was C) 1029.
Step-by-step explanation:
1. It is good to first know that 40%more means 1.4 (some number). So, if n is 40% more than the sum of the other three numbers: n= 1.4* (<em>l +m+p)</em> .
2. Also note that: <em>n+l+m+p= </em>1764; so, <em>n = 1764-l-m-p.</em>
3. Since we have two expressions for n, we can equate them to each other. Giving, 1.4* (<em>l +m+p) =1764-l-m-p . </em>Simplifying we get 2.4 (<em>l +m+p)</em>=1764.
4. <em>l +m+p =1764/2=735.</em>
5. 1764-735=1029
Hope that helps! Feel free to message back if there are any questions!
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