the length of a rectangle is 2 meters more than its width. the area of the rectangle is 80 square meters. what is the length and width of the rectangle? a. length = 10 meters, width = 8 meters b. length = 20 meters, width = 4 meters c. length = 14 meters, width = 12 meters d. length = 8 meters, width = 6 meters

Respuesta :

Let the width be w;
Then the length is (w+2)
A=L*W
A=(w+2)*w
A=[tex] w^{2}+2w [/tex]
80=[tex] w^{2} +2w[/tex]
[tex] w^{2} +2w-80=0[/tex]
Solving by expansion;
[tex] w^{2} +10w-8w-80[/tex]
=w(w+10)-8(w+10)
=(w-8)(w+10)
w= 8
Width is 8 and length is 10

Answer:

A is the answer

Step-by-step explanation:

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