Question

A. Your bed is a rectangle that is 4 feet by 6 feet wide. Draw a model of it below and label the dimensions. Find the perimeter and area of the bed. B. Dad reminds you that you keep you suitcase, a box of legos, your memory box, and your stash of snacks underneath your bed. They are all rectangle. The suitcase has a perimeter of 14 feet. The Lego box has a perimeter of 10 feet. The stash has a perimeter of 10 feet. The stash has a perimeter of 6 feet. C. Find the area and dimensions of each item under your bed

Answer 1

The model which model the dimensions of the bed has been attached.

• The perimeter and area of the bed is 10 feet and 24 square feet respectively.
• The perimeter of your bed is less than the perimeter of the items, so not all items can be underneath your bed.

What is the perimeter and area of the bed?

• Length of the rectangle = 6 feet
• Width of the rectangle = 4 feet

Perimeter of the bed = 2(length + width)

= 2(6 + 4)

= 2(10)

= 20 feet

Area of the bed = Length × width

= 6 feet × 4 feet

= 24 square feet

• Perimeter of the suitcase = 14 feet
• Perimeter of Lego box = 10 feet
• Perimeter of memory box = 10 feet
• Perimeter of stash = 6 feet

Total perimeter = 14 + 10 + 10 + 6

= 40 feet

Therefore, the items listed can not all be underneath your bed because the total perimeter of the items is greater than the perimeter of your bed.

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