the width of a rectangle is two-thirds its length, if per
imeter is 180 metres, find the dimensions of the rectangle
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Step-by-step explanation:
Let the length of the rectangle be x m.
Then, width of the rectangle =
3
2x
Given, perimeter of the rectangle =180
⟹2(x+
3
2x
)=180
⟹2(
3
3x+2x
)=180
⟹2(5x)=180×3 ....[By cross-multiplication]
⟹10x=540
⟹x=54
Now, width of the rectangle =
3
2x
=
3
2×54
=36 m
Hence, the length of the rectangle is 54 m and that of breadth is 36 m.
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