Question

A rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.

The approximate width of the room is at least
feet and at most
feet.

Answer 1

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Answer 2

The possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.

Given that a rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet, to determine the possible widths of the room the following calculations must be performed:

Rectangle = 70 feet of perimeter = 35 feet of base and height added

Area of a rectangle = base times height

• 5 x 30 = 150
• 6 x 29 = 174
• 7 x 28 = 196
• 8 x 27 = 216
• 10 x 25 = 250
• 17 x 18 = 306
• 27 x 8 = 216

Therefore, the possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.

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