A rectangle's length is 4 more than twice its width. Its area is 240 square centimeters.
Complete the work to find the dimensions of the
rectangle.
w(2w + 4) = 240
2w2 + 4w = 240
2w2 + 4w - 240 = 0
2(w + 12)(w - 10) = 0
What is the width of the rectangle?
2w + 4 A = 240 cm2
What is the length of the rectangle?
w

Step-by-step explanation:

width = w

Length = 2w + 4

Area = 240 sq. cm

length * width = 240

(2w + 4) * w = 240

2w *w + 4*w = 240

2w² + 4w = 240

2w² + 4w -240  = 0

2(w²+2w - 120) = 0

2(w² + 12w - 10w - 10*12)=0

2 (w[w + 12] - 10[w + 12] ) = 0

2 (w + 12) (w-10) = 0

Ignore (w + 12) because measurement wont be in negative value

w - 10 = 0

w = 10

Width = 10 cm

length = 2w + 4 = 2*10 + 4 = 20 + 4

Length = 24 cm

Width = 10

Length = 24

Step-by-step explanation:

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step-by-step explanation: