the breadth of a rectangle is 5 more than one third of the length the perimeter of the triangle is 42 cm find the length of the rectangle
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Let the length of the rectangle be y and the width be x.
From the information we have :
x = 1/3y + 5
making y the subject of the equation we have :
1/3y = x - 5
y = (x - 5)3
y = 3x - 15
The perimeter from the dimensions is :
2x +2(3x - 15) = 42
2x + 6x - 30 = 42
8x = 72
x = 9
The length will be :
(3 × 9 - 15) = 12 cm
Width is 9cm
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