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Anna11 [10]
3 years ago
6

a 28 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third pi

ece is one inch more than six times the length of the first piece. Find the lengths of the pieces
Mathematics
1 answer:
klasskru [66]3 years ago
3 0
Where x is the length of the first piece
x + 2x + 6x + 1 = 28 \\  \\ 9x = 27 \\  \\ x = 3
so the first piece is 3 inches, the second is 6 inches and the third is 19 inches
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Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

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\text { Area of rectangle }=\left(x^{2}-8 x\right)

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\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

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Step-by-step explanation:

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