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100 POINTS AND THE BRAINLIEST!!
1. A sports team has 65 men and 35 women as members. A new activity has just begun and some new members have joined. Given that the number of men is now 60% of the total members, how many of the 50 new members were women?
2. A rectangle is 50cm long and 40cm wide. Its length is extended by 12% and its width is reduced by 15%. Does the perimeter of the rectangle change? Does the area of the rectangle change? Justify your answer.

Respuesta :

jpshindell13

Answer:

1. 20 of the 50 new members were women.

Step-by-step explanation:

mhanifa

Answer:

  • 1) 25 women joined;
  • 2) Perimeter stayed same but area became smaller.

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Question 1

Initial number of sports team:

  • 65 + 35 = 100

Number after new members joined:

  • 100 + 50 = 150

60% of 150 members are men, number  of men is:

  • 150*60/100 = 90

Number of women:

  • 150 - 90 = 60

Number of newly joined women:

  • 60 - 35 = 25

Question 2

Perimeter of the rectangle:

  • 2(50 + 40) = 2(90) = 180 cm

Area of rectangle:

  • 50*40 = 2000 cm²

New dimensions:

  • 50 + 12% = 50*1.12 = 56 cm,
  • 40 - 15% = 40*0.85 = 34 cm.

New perimeter:

  • 2(56 + 34) = 2(90) = 180 cm

New area:

  • 56*34 = 1904 cm²

New perimeter is same as previous one but new area is smaller.

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