Question

a rectangle has a length 8 cm the rectangle has area 20cm^2 the length of the rectangle is increased by 2 cm the area of the rectangle is increased by 4 cm^2 noh says the width of the rectangle decreased less than 5% is noah correct

Answer 1

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The width of the rectangle is given by ...

  W = A/L

  W = (20 cm²)/(8 cm) = 2.5 cm

__

The modified rectangle has a length of (8 cm +2 cm) = 10 cm, and an area of (20 cm² +4 cm²) = 24 cm². Its width will be ...

  W = (24 cm²)/(10 cm) = 2.4 cm

The percentage change in size is ...

  ((2.4 cm)/(2.5 cm) -1) × 100% = -4%

The width of the rectangle decreased less than 5%. Noah is correct.