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drezz76
24.10.2019 •
Mathematics
Find the dimensions of a rectangle whose width is 4 miles less than its length and whose area is 96 square miles
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Ответ:
12 miles by 8 miles
Step-by-step explanation:
Let length be represented by x
Since width is 4 miles less than the length, therefore, the width will be (x-4) miles
Area=Length*Width
Area=x(x-4)=![x^{2}-4x](/tpl/images/0344/1200/fcb3f.png)
Area is given hence
To write the above equation as a quadratic equation
By factorization, we find two numbers whose sum is -4 and product is -96, these are 8 and -12. Therefore, taking these two numbers back to our equation
(x+8)(x-12)=0
Therefore, x=-8 or 12
Equally, using quadratic formula of
x=-8 or 12
Since length can't be negative, hence x=12
The length is 12 miles
Width=12-4=8 miles
Dimensions: 12 miles by 8 miles
Ответ:
go to quizlet they tell u the question 20 secs after u ask it
Step-by-step explanation: