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swat32
3 years ago
9

The area of a rectangle is 77 ft2 , and the length of the rectangle is 10 ft less than three times the width. find the dimension

s of the rectangle.
Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

width (w) = w

Length (L) = 3w - 10

Area (A) = L x w

77 = (3w - 10)w

77 = 3w² - 10w

0 = 3w² - 10w - 77

0 = 3w² - 21w + 11w - 77

0 = 3w(w - 7) + 11(w - 7)

0 = (3w + 11)(w - 7)

0 = 3w + 11, 0 = w - 7

w = \frac{-11}{3}, w = 7 (width cannot be negative!)

w = 7

Length (L) = 3w - 10 = 3(7) - 10 = 21 - 10 = 11

Answer: width = 7 ft, Length = 11 ft

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By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.

Step-by-step explanation:

Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.

To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 =     317.15 K.

To convert °F, we have the formula (112°F − 32) × (\frac{5}{9}) + 273.15, so

110 °F = (110 - 32) × (\frac{5}{9}) + 273.15 = 316.483 K,

112 °F = (112 - 32) × (\frac{5}{9}) + 273.15 = 317.594 K.

Step 2; By rewriting all the values on the same unit, we get;

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Sample C = 316.483 K,

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The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.

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