Answer: L = 29cm
Step-by-step explanation:
Let's go!!
To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.
So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.
Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90
Then, you might to solve this system of equation:
2L + 2w = 90
w = L - 13
Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).
Our new system:
L + w = 45
w = L - 13
Using the substituition method:
L + L - 13 = 45
2L = 58
L = 29 cm
the width is 29 - 13 = 16 cm
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Answer:
3: 
4: 
Step-by-step explanation:
Question 3 can be re-written as:

which equals:

Question 4 can be re-written as:

Doing the first 2 brackets gives us:

Expanding these two:

Simplifying it:

Answer:
4√6
Step-by-step explanation:
For right now, I will assume that the "<em>Follow my new brainly at..</em>" part is irrelevant.
Anyways, to find the square root of a number, usually the best way is to find its prime factorization first:
96 : 
We can rewrite that as:

Simplify!

Since
is the same thing as
, that is our answer.
Thusly, as seen above, the answer is
.
Hope this helps! ((;