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nassercruz04
11.05.2021 •
Mathematics
A rectangle has a length that is twice the width. The width is to be extended by 5 ft and the length by 3 ft, so the total area becomes 99 square feet. What was the original length?
Answer Choices:
4 ft
6 ft
8 ft
10 ft
12 ft
14 ft
16 ft
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Ответ:
8 feet
Step-by-step explanation:
w = width
2s = length
Find 'w' by multiplying the new dimensions:
(w+5)(2w+3) = 2w² + 3w + 10w + 15 = 99
simplify:
2w² + 13w - 84 = 0
Factor:
(2w + 21)(w - 4) = 0
w = -21/2 ** disregard because a measurement cannot be negative **
w = 4
original width was 4
orginal length was twice 4 or 8 feet
Ответ:
The answer for the following are
A) 14.34818
B) 10.78