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Likurg_2 [28]
3 years ago
9

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3

feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot.
10.4 feet by 7.4 feet
11.1 feet by 8.1 feet
13.4 feet by 10.4 feet
14.1 feet by 11.1 feet
Mathematics
2 answers:
blsea [12.9K]3 years ago
8 0
So remember that the pythagorean theorem is a^2+b^2=c^2
c=18
legnth is 3 more than width
l=3+w
a=3+b
subsitute
(3+b)^2+b^2=18^2
expand
9+6b+b^2+b^2=324
subbtract 9 from both sides
6b+2b^2=313
subtract 313 from both sides
2b^2+6b-313=0
factor
use quadratic formula and get
b=11.1
subsitute
a=3+b
a=3+11.1
a=14.1
answer is 14.1 ft by 11.1 ft
matrenka [14]3 years ago
7 0

Answer: 14.1 and 11.1

Step-by-step explanation:

just did it

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Set variables for the quantities we want to find.

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