Question #a16c1

1 Answer
Krishna V.
May 26, 2017

The length is 15 meters and the width is 9 meters.

Explanation:

If we set this up as an algebraic equation, the length, #l#, and the width, #w#, would be set up as #l = w+6#

Provided #A=l*w#, we can substitute #l# as #w+6# so that #A=(w+6)*w=w^2+6w#

If your Area, #A# is #135 m^2#. we plug it in so that #135 = w^2+6w#

Subtract #135# from both sides to get #0=w^2+6w-135#. If we factor this we get #(w+15)(w-9)=0#, so #w=-15 or 9#. Since distance can't be negative, #w=9#

If #l=w+6#, #l=9+6=15#

So the width is 9 meters and the length is 15 meters.

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