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kherson [118]
3 years ago
7

If me.Arenth wants to put new carpeting in the room shown, how many square feet should he order

Mathematics
1 answer:
Liula [17]3 years ago
7 0

By definition, the area is given by:


A = w * l  


Where,


w: width


l: length


We have two expressions for the length:


L = 14\\L = 5 + 3c


Since the length is the same, we equate both expressions:


5 + 3c = 14  


From here, we clear the value of c:


3c = 14 - 5\\3c = 9  


c = \frac{9}{3}\\c = 3  


Then, we have that the width is given by:


W = 6c-8  


Substituting the value of c we have:


W = 6 (3) -8\\W = 18-8\\W = 10  


Finally, the area is given by:


A = w * l\\A = 10 * 14\\A = 140 ft ^ 2  


Answer:


he should order 140 square feet

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