| The length of a rectangular swimming pool is 3 times its width. The pool is surrounded by a cement walk 3 feet wide. The area of the walk is 756 square feet. Find the dimensions of the pool. |
Find LENGTH Find WIDTH Let A=AREA Let L=LENGTH Let W=WIDTH Given L=3W Given (L+3)(W+3)=LW+756 LW+3L+3W+9=LW+756 Comment: Expand parentheses +3L+3W+9=+756 Comment: Simplify 3(3W)+3W+9=756 Comment: Substitute 3W for L in 3L+3W+9=756 9W+3W+9=756 12W=747 Step W=62.25 Comment Simplify Solution W=62.25 // L=186.75 Solution L=186.75 Substitute W=62.25 into L=3W End |