Kayla has a rectangler garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m by increasing the width and length by same amount. What will be the length (longer dimension) of the new garden.?

Assuming the width and length are increased by x,

Then (10+x)(13+x)=208

10*13+23x+x^2=208

x^2+23x-78=0

(x+26)(x-3)=0

So x=3

Therefore the length of the new garden is 3+13=16 m.

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