document.write( "Question 992419: The length of a rectangular garden is 5 feet greater than the width. The area of the garden is 300 square feet. Find the length and the width. \n" ); document.write( "
Algebra.Com's Answer #612073 by addingup(3677)![]() ![]() You can put this solution on YOUR website! So, the length= W+5. Therefore, using this value for the length and applying it to the formula for area of the rectangle:\r \n" ); document.write( "\n" ); document.write( "W*W+5= 300 \n" ); document.write( "W^2+5W= 300 Now we subtract 300 from both sides: \n" ); document.write( "W^2+5W-300= 0 Factor the left side: \n" ); document.write( "(W-15)(W+20)= 0 Break into 2 equations \n" ); document.write( "W-15= 0 or W+20=0 Solve each \n" ); document.write( "W= 15 or W= -20 Let's try our first answer, 15: \n" ); document.write( "15*15+5= 300 \n" ); document.write( "15*20= 300 and 15*20= 300 so this answer is correct The W=15 and L=20 \n" ); document.write( " \n" ); document.write( " |