The rectangle shown has an area of 48 cm2 and is modeled by the equation a = 2w2 + 3w, where w is the width. what is the perimeter of the rectangle? (to nearest tenth of a cm2)

A=w xl

48=2w^2+3w; 2w^2 +3w -48=0;

w=-3+_sqrt(9+8x48)/4

= -3+_sqrt 393/4

w=4.2 the other w we reject because is negative

P= 2xw +2(2w+3)=2w+4w+6=

6w+6=6x4.2+6= 31.2cm

Perimeter is 31.2cm

step-by-step explanation:

step-by-step explanation:

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