Question

the width of a rectangle is two thirds it's lengthard if the perimeter is 180m find the dimensions of the rectangle

Answer 1

length = 54
breadth = 36

Answer 2

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Here is your answer
Let the length of the rectangle is x

Breadth of the rectangle is 2x/3

Perimeter = 180 m

As we know the formula
Perimeter of the rectangle is = 2(L + B)
$180 = 2(x + \frac{2x}{3} ) \\ \frac{180}{2} = \frac{3x + 2x}{3} \\ 90 = \frac{5x}{3} \\ 5x = 90 \times 3 \\ x = \frac{90 \times 3}{5} \\ x = 18 \times 3 \\ x = 54 \\ so \\ breadth \: = \frac{2 \times 54}{3} \\ = 2 \times 18 \\ = 36$
Therefore
Length = 54 m
Breadth = 36 m

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