A rectangular field is 30 m in length and 22 m in width. Two mutu… - Vidyadip

Question

A rectangular field is $30 m$ in length and $22 m$ in width. Two mutually perpendicular roads, each $2.5 m$ wide, are drawn inside the field so that one road is parallel to the length of the field and the other road is parallel to its width. Calculate the area of the crossroads.

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Answer

Length of rectangular field $(l) = 30 m$ and breadth $(b) = 22m$
width of parallel roads perpendicular to each other inside the field $=2.5m$

Area of cross roads $=$ width of roads $($Length $+$ breadth$) –$ area of middle square
$= 2.5 (30 + 22) – (2.5)^2$
$= 2.5 \times 52 – 6.25\ m^2$
$= (130 – 6.25) m = 123.75\ m^2$

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