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Lapatulllka [165]
4 years ago
10

the length of a rectangle is 2 cm less than five times the width. the area of the rectangle is 16 cm^2. find the length and widt

h of the rectangle.
Mathematics
1 answer:
ahrayia [7]4 years ago
8 0
<span>length = L
</span>width = w

L = (5w-2) cm

w(5w-2)=16 \\ 5w^2-2w-16=0 \\ D=b^2-4ac=(-2)^2-4*5*(-16)=324 \\ w_{1,2}= \frac{-bб \sqrt{D} }{2a}  \\ w_1= \frac{2- \sqrt{324} }{2*5}= \frac{2-18}{10}=-1.6 \ \ \O \\ w_2=  \frac{2+18}{10}=2 cm

width = 2 cm
length = 5w-2 = 5*2-2 = 8 cm
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