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your home is built on a square lot to add more space to your yard you purchase an additional 8 meters along the side of the property the area of the lot is now 345 square meters. What are the dimensions of the new lot?

Sagot :

1,830
this is my answer
x= the side of the square
x+8= the side of the enlarged side of the square

the area of x and x+8 is equal to 345m2 where

(x)(x+8)=345
x2+8x=345
then we will factor it using completing the square
x2+8x+16=345+16
x2+8x+16=361
then we will square root each side of the equation.
x+4=19
x=19-4
x=15meters
then the other side is x+8
15+8=23
the new dimension is 23m by 15m. Welcome ;)