Math  /  Geometry

QuestionA rectangle has dimensions 10 cm10 \mathrm{~cm} by 8 cm8 \mathrm{~cm}. If length increases by 60%60\%, find width's percentage change if: (a) perimeter stays the same. (b) area stays the same.

Studdy Solution
Calculate the percentage change in width.
Percentagechangeinwidth=((5cm8cm)/8cm)×100%=37.5%Percentage\, change\, in\, width = ((5 cm -8 cm) /8 cm) \times100\% = -37.5\%The width of the rectangle decreases by37.5% if the area remains unchanged.

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