An interior designer wants to place a bed in a home, and she is especially concerned about the headboard, which is 5 feet wide and 5 feet tall. She’ll place the headboard on a wall that is 8 feet wide and 10 feet tall. What is the area of the space that will remain on the wall after she places the bed against the wall? show work

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24-04-2021
Mathematics

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An interior designer wants to place a bed in a home, and she is especially concerned about the headboard, which is 5 feet wide and 5 feet tall. She’ll place the headboard on a wall that is 8 feet wide and 10 feet tall. What is the area of the space that will remain on the wall after she places the bed against the wall? show work

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koodles9 koodles9 · Answer 1 · 2021-04-24T04:28:32+02:00

Answer: The answer would be 55 square feet.

Explanation: To make it easy, placing the bed frame in one of the bottom corners will leave us with 2 shapes. The piece right next to the bed frame will have a width of 3 and a length of 5, resulting in the area of that shape to 15 square feet. The rectangle above the bed frame with have a width of 8 and a length of 5, resulting in the area being 40 square feet. If you add those 2 numbers together, 40 + 15, you will have 55 square feet.