Answer:
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
