Answer:
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 <span>l=w+6</span>
Provided <span>A=l⋅w</span>, we can substitute l as <span>w+6</span> so that <span>A=<span>(w+6)</span>⋅w=<span>w2</span>+6w</span>
If your Area, A is <span>135<span>m2</span></span>. we plug it in so that <span>135=<span>w2</span>+6w</span>
Subtract 135 from both sides to get <span>0=<span>w2</span>+6w−135</span>. If we factor this we get <span><span>(w+15)</span><span>(w−9)</span>=0</span>, so <span>w=−15or9</span>. Since distance can't be negative, <span>w=9</span>
If <span>l=w+6</span>, <span>l=9+6=15</span>
So the width is 9 meters and the length is 15 meters.
Hope it helps!
