anonymous
  • anonymous
The length of a rectangular sign is 3ft longer than the width. If the signs area is 54 square ft, find its length and width.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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mathstudent55
  • mathstudent55
|dw:1441133780483:dw|
mathstudent55
  • mathstudent55
We don't know the length or the width, but we do know something about the length in terms of the width. "The length of a rectangular sign is 3ft longer than the width." This suggests we should pick a variable to represent the width. Then we will write an expression for the length in terms of the width.
mathstudent55
  • mathstudent55
Let the width be w. Since the length is 3 ft longer than the width, what is the length in terms of w?

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mathstudent55
  • mathstudent55
|dw:1441133962071:dw|
mathstudent55
  • mathstudent55
The length is w + 3 |dw:1441134192865:dw|
mathstudent55
  • mathstudent55
Now use the length and width, w, and w + 3, to write an expression for the area. Area of rectangle = length * width. Then set the area expression equal to the given area, 54. Solve the equation for w, and that is the width. Add 3 to the width to find the length.

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