rectangle x measures 16 in by 12 in. rectangle y is a scaled copy of rectangle x. select all of the…

rectangle x measures 16 in by 12 in. rectangle y is a scaled copy of rectangle x. select all of the measurement pairs that could be the dimensions of rectangle y. a 18 in by 14 in b 48 in by 24 in c 12 in by 9 in d 4 in by 3 in e 68 in by 51 in

rectangle x measures 16 in by 12 in. rectangle y is a scaled copy of rectangle x. select all of the measurement pairs that could be the dimensions of rectangle y. a 18 in by 14 in b 48 in by 24 in c 12 in by 9 in d 4 in by 3 in e 68 in by 51 in

Answer

Explanation:

Step1: Find the ratio of the original rectangle

The ratio of the sides of rectangle (X) is (\frac{16}{12}=\frac{4}{3})

Step2: Check each option

  • Option A: (\frac{18}{14}=\frac{9}{7}\neq\frac{4}{3})
  • Option B: (\frac{48}{24} = 2\neq\frac{4}{3})
  • Option C: (\frac{12}{9}=\frac{4}{3})
  • Option D: (\frac{4}{3})
  • Option E: (\frac{68}{51}=\frac{4}{3}) (divide numerator and denominator by (17): (\frac{68\div17}{51\div17}=\frac{4}{3}))

Answer:

C. (12) in by (9) in, D. (4) in by (3) in, E. (68) in by (51) in