if the perimeter of a rectangle and square are equal and the the ratio of the two adjacent side of a rectangle is 1 ratio 2 then the ratio of area of the rectangle and that of a square
Answers
Step-by-step explanation:
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LET THE SIDE OF SQUARE BE 3x.
THE LENGTH AND BREADTH OF THE RECTANGLE IS IN THE RATIO IS 2:1.
LET SIDE OF THE RECTANGLE BE 2x & 4x.
IT ALSO APPLIES TO THE CONDITION THAT PERIMETER OF RECTANGLE AND SQUARE IS EQUAL.
THEN RATIO OF AREA OF RECTANGLE AND SQUARE = (2x*4x):(3x*3x)
= (8x^2):(9X^2) = 8:9
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Answer:
9:8
Step-by-step explanation:
Let the perimeter of rectangle and square be x
Let the length and breadth of rectangle be L and B and side of square be S
2*L + 2*B = x --> L + B = x/2 ......................(i)
4S = x --> S = x/4 ........................................(ii)
Area of square : S^2 = x^2/16
Area of Rectangle :
Given : L:B = 2:1 ( Just assuming Length to be greater than breadth , u can try reverse, doesn't matter) , therefore : L/B = 2/1
Thus , we see that : L = 2B
placing it in (i) ,
we get ,3B = x/2 ---> B = X/6 ---> L = 2B = x/3
thus , Area of rectangle = x^2/18
and finally area ratios : 1/16 : 1/18 = 18:16 = 9:8