Question

The width of a triangle is two thirds its length. If the perimeter is 180 metres, find the dimensions of the rectangle.

Answer 1

The perimeter of the rectangle is calculated by the formula [ 2(length +width) ] and as given in the data it is 180 metres.

Now equate everything,

2(2/3x +x) =180

2/3x +x =180/2

2/3x +x = 90

Now take x as a common variable on the L.H.S.

x(2/3 +1) =90

Add 2/3 and 1 on the L.H.S,

x(5/3) = 90

x = 90 / (5/3)

x = 90 * 3/5

x = 54

Therefore, the length of the rectangle is 54 metres and the width is 36 metres(2/3 of 54)

Answer 2

Step-by-step explanation:

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