if the length of a rectangle is reduced by 50% and the breadth is increased by 25% and it takes the shape of a square find the ratio of the areas of the rectangle and square and the perimeter of rectangle and the square
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Answer:
8/5 and 7/5
Step-by-step explanation:
x=length of rectangle. y= breadth of rectangle
=> x/2=y+y/4 (1)
Srectangle is xy ; Ssquare is x^2/4
xy/(x^2/4) = xy*4/x^2=y*4/x with (1) we have y=x/2-y/4
=> (2x-y)/x with (1) have (4y)/(2y+y/2) =4y/(5y/2) so the ratio is 8/5
Vrectangle is 2(x+y); Vsquare is 4*(x/2);
2(x+y)/2x=(4y+y+2y)/(4y+y) = 7y/5y = 7/5
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