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Serhud [2]
3 years ago
9

Find the length of a rectangle if its

Mathematics
1 answer:
Alina [70]3 years ago
4 0

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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Nezavi [6.7K]

The value of the composite function is (f/g)(5)= 26

<h3>How to evaluate the composite function?</h3>

The functions are given as:

f(x) = x^2+1 and g(x) = x-4

To calculate the composite function, we use the following formula

(f/g)(x)= f(x)/g(x)

So, we have:

(f/g)(5)= f(5)/g(5)

Calculate f(5) and g(5)

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This gives

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Substitute f(5) = 26 and g(5) = 1 in (f/g)(5)= f(5)/g(5)

(f/g)(5)= 26/1

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(f/g)(5)= 26

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