Bradley is extending his rectangular living room. The original dimensions are 6 feet by 11 feet. If he extended his room by x + 8 feet, what is the new area? How many square feet of area did he add?

Question

11-01-2024
Mathematics

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Bradley is extending his rectangular living room. The original dimensions are 6 feet by 11 feet. If he extended his room by x + 8 feet, what is the new area? How many square feet of area did he add?

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gdemma724 gdemma724 · Answer 1 · 2024-01-11T01:13:49+01:00

Answer:

The new area of Bradley’s living room is (114 + 6x) square feet, and he added (48 + 6x) square feet to his room.

Step-by-step explanation:

The area of a rectangle is calculated by multiplying its length by its width.

Original Area: The original area of Bradley’s living room is 6 feet (width) times 11 feet (length), which equals 66 square feet.

New Dimensions: If Bradley extends his room by x + 8 feet, the new dimensions become 6 feet by (11 + x + 8) feet, or 6 feet by (19 + x) feet.

New Area: The new area of the room is 6 feet (width) times (19 + x) feet (length), which equals (114 + 6x) square feet.

Added Area: The added area is the new area minus the original area, which equals (114 + 6x) square feet - 66 square feet = (48 + 6x) square feet.

So, the new area of Bradley’s living room is (114 + 6x) square feet, and he added (48 + 6x) square feet to his room. Please note that ‘x’ is the variable representing the additional length he added to the room. To get the exact values, you would need to know the value of ‘x’.