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The perimeter of a rectangular field is 158 feet. If the length is 10 more than twice the width, find the length and the width.
Step 1. Perimeter P is when adding up all the sides of the rectangular.
Step 2. Let w be the width.
Step 3. Let 2w be twice the width
Step 4. Let 2w+10 be the length since the length is 10 more than twice the width.
Step 5. Then
Step 6. Solving the equation in Step 5 yields
Subtract 20 from both sides of the equation
Divide 6 to both sides of the equation
Check...P=2(23+56)=158...which is a true statement...
Step 7. ANSWER: The width is 23 feet and the length is 56 feet.
I hope the above steps were helpful.
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