the width of shriya's garden is 2/3 of its length . if it's perimeter is 40 cm find it's dimension
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Step-by-step explanation:
Width of garden (Breadth) = 2/3 x
Perimeter of the garden = 40 cm
Let length of the garden be x
Perimeter = 2(x + 2/3 x) = 40
= 2(3x + 2x / 3) = 40
=2( 5x/3) = 40
= 10x/3 = 40
= 10 x = 40 x 3
10 x =120
x = 120/10
x =12 cm
Length of garden = 12 cm
Breadth of garden = 2/3 x 12 = 24/3 = 8 cm
Dimensions :-
Length = 12 cm
Breadth = 8 cm
Verification
2(l + b) =40
2(12 + 8) = 40
2 (20) = 40
40 = 40
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