Let x be the initial width, then the initial length is x+20. <span>If Elise decreases this length by 8 feet, she will get the new length x+20-8=x+12. </span> If Elise increases the width by 10 feet, <span>she will get the new width x+10. </span><span> </span><span>The new perimeter will be x+12+x+12+x+10+x+10=4x+44=172, 4x=172-44, 4x=128, x=128÷4, x=32. </span><span> </span><span>The initial width is 32 ft and the initial length is 32+20=52 ft. </span><span> </span><span>The new width will be 32+10=42 ft, the new length will be 32+12=44 ft. </span>