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Neporo4naja [7]
3 years ago
15

Here is a rectangle ABCD.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

8%

Step-by-step explanation:

Original perimeter is 100cm

  • The 20cm is representative of the width
  • 30cm is representative of the length

length is increased by 10%

  • 30+(.10 x 30)
  • (1 + .10) × 30
  • (100% + 10%) × 30
  • 110% × 30
  • 110 ÷ 100 × 30
  • 110 × 30 ÷ 100
  • 3,300 ÷ 100
  • = 33

length is increased by 5%

  • 20 + (5% × 20) =
  • 20 + 5% × 20 =
  • (1 + 5%) × 20 =
  • (100% + 5%) × 20 =
  • 105% × 20 =
  • 105 ÷ 100 × 20 =
  • 105 × 20 ÷ 100 =
  • 2,100 ÷ 100 =
  • = 21

New perimeter: 108 cm

Percentage increase:

  • (108-100):100*100 =
  • (108:100-1)*100 =
  • 108-100 = 8
  • = 8%

Hopefully this helps

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