The length of a rectangular piece pf cloth is 8 cm more than the width. The area is 50 sq. cm. Find the length and the width.

I need to answer this by using quadratic applications. Explain it as simple as you can.

let the width of the cloth be x cm, then the length will be (x+8)cm

now length*width=50

x(x+8)=50

x^2+8x=50

x^2+8x-50=0; ax^2+bx+c

using the quadratic formula; x={-b+/- sqrt(b^2-4(a)(c))}/2a

x={-8+/- sqrt(8^2-4(-50))}/2

x=-4+/- 8.124

x=-12.124 or x=4.124

but x cannot be negative, therefore x= 4.124

length=(4.124+8)= 12.124 cm

width= 4.124 cm

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