A yard

Yevgen is fencing in a yard that is 30 meters longer than it is wide. The yard will have an area of 1000 m2. Find its width and length.

Correct answer:

y =  50 m
x =  20 m

Step-by-step explanation:

y=30+x S = xy = 1000  m2  xy=1000 (y−30)⋅ y=1000  (y−30)⋅ y=1000 y2−30y−1000=0  a=1;b=−30;c=−1000 D=b2−4ac=302−4⋅1⋅(−1000)=4900 D>0  y1,2​=2a−b±D​​=230±4900​​ y1,2​=230±70​ y1,2​=15±35 y1​=50 y2​=−20  y=y1​=50=50 m

Our quadratic equation calculator calculates it.

x=y−30=50−30=20 m

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