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Sagot :
Answer:
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Step-by-step explanation:
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Equation is [tex]w^2+4w-60=0[/tex]
Given :
a rectangular flower bed is designed to be 4 meters longer than it is wide
60 square meters are needed for the plants in the bed.
Let 'w' be the width of the flower bed
and 'L' be the length of the flower bed
Length is 4 meters longer than its width
Length L= w+4
We know that the area of rectangle = length times width
[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]
Given that the area is 60 square meters
Replace A by 60 and solve for 'w'
[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]
Width cannot be negative, so width = 6 meters
length = width +4 = 6+4=10 meters
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Learn more: brainly.com/question/19579804
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