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Sagot :

Answer:

% change in perimeter = 43. 44 %

% change in area = 16 %

Step-by-step explanation:

initial perimeter of the rectangle = 2(2p + p)

= 6p

initial area of the rectangle = 2p × p

= 2p²

  • 25% is equal to 0.4

therefore,

  • new length = 2p + (2p × 0.4)

= 2p + 0.8p = 2.8 p

  • new breadth

= p - 0.4p

= 0.6 p

  • new perimeter = 2 ( 2.8 p + 0.6p)

= 3.4 p

  • new area = 2.8p × 0.6p

= 1.68 p²

% change in perimeter

[tex] = \frac{6p - 3.4p}{6p} \times 100 \\ = \frac{2.6p}{6p} \times 100 \\ = 43.33\%[/tex]

% change in area

[tex] \frac{2 {p}^{2} - 1.68 {p}^{2} }{2 {p}^{2} } \times 100 \\ = \frac{0.32}{2} \times 100 \\ = 16\%[/tex]

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