Answer:
Length of the rectangle = 16 inches
Width of the rectangle = 12 inches
Step-by-step explanation:
Let the length of the rectangle be represented by x.
Then width can be expressed as ![\[\frac{x}{2}+4\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B2%7D%2B4%5C%5D%0A)
Perimeter of a rectangle is the sum of four sides of the rectangle.
This can be expressed as 2*(length + breadth)
= ![\[2* (x + \frac{x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28x%20%2B%20%5Cfrac%7Bx%7D%7B2%7D%2B4%29%5C%5D)
= ![\[2* (\frac{3x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28%5Cfrac%7B3x%7D%7B2%7D%2B4%29%5C%5D)
= ![\[3x + 8\]](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%5C%5D)
But perimeter is given as 56.
So, ![\[3x + 8 = 56\] ](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%20%3D%2056%5C%5D%0A)
=> ![\[3x = 48\]](https://tex.z-dn.net/?f=%5C%5B3x%20%3D%2048%5C%5D)
=> ![\[x = 16\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%2016%5C%5D)
Hence length of the rectangle = 16 inches
Width of the rectangle =
= 12 inches
Answer:
In assumption, x is the smaller even integer and x+2 is the next so it will be larger.
The integers are 4 and 6
Step-by-step explanation:
Let the two consecutive even integers be x and x+2
Here x is the smaller even integer and x+2 is the next so it will be larger.
Now according to the given statement
Sum of both: 
difference of 3 times the larger & 2 times the smaller:
Putting the sum and difference equal:

Solving the equation

The next integer will be:

Hence,
In assumption, x is the smaller even integer and x+2 is the next so it will be larger.
The integers are 4 and 6.
Answer:
12
Step-by-step explanation:
8.x-13=3+4.x
8.x-13=7.x
x-13+8=7.x
x-5=7.x
x-x=7+5
x-x=12
x=12
Answer:
<h3>a1 = 63</h3><h3>an = 3(22-n) .........</h3>