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Luden [163]
3 years ago
7

Talia has a square bedroom. Her family is moving and her bedroom in her new apartment will be 3 feet shorter in one direction an

d 5 feet longer in the other direction. Write an expression that represents the two binomials you would multiply together to find the area of Talia's new bedroom.
2nd Part
If Talia's old bedroom measured 10 feet by 10 feet, how much larger or smaller will her new bedroom be?
Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer (x represents the first direction and the y represents the second direction):

  1. (x - 3) × (y + 5)
  2. New bedroom: 7 ft × 15 ft. Her new bedroom is 5 sq. ft larger than her old bedroom

I hope this helps!

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According to your question, there are 2 unknown numbers mentioned. Let the 2 unknown numbers be represented by the variables x & y, then x is considered to be one of the numbers being more than y by the addition of 4, .ie. x = 4 + y --- (1) The sum of the 2 numbers is 60, i.e. x + y = 60 --- (2) To find the smaller number, we solve eqn (1) & (2) using the concept of substitution, i.e. substitute 4 + y for x in eqn (2), i.e. 4 + y + y = 60 4 + 2y = 60 2y = 60 - 4 2y = 56 y = 28 ...Ans. Recall that x is more than y by 4, then 28 is the smaller number.
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