Question

A rectangular park is of dimensions 150 m by 120 m. Two
paths run parallel to the sides of the rectangular park
through the centre of the park. The width of the path is
2.4 m. Find the area of the path and the area of the
remaining part of the park.​

Answer 1

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• Area of the Rectangular Park

=(150×120)m²

=18000 m²

Now the paths of width =2.4 m divide the park into 4 rectangular fields .

and each rectangular field has

$\rightarrow length = ( \frac{150}{2} - \frac{2.4}{2} )m = 73.8 \: m \\ and \\ \rightarrow breadth = ( \frac{120}{2} - \frac{2.4}{2} )m = 58.8 \: m$

therefore area of each rectangular field

$\rightarrow \: area = (73.8 \times 58.8)m {}^{2} = 4339.44 \: m {}^{2}$

therefore area of the remaining portion of the park omiting path

$=4(4339.44)m {}^{2} \\ = 17357.76 \: m {}^{2}$

therefore area of the paths

$= (18000 - 17357.76)m {}^{2} \\ = 642.24 \: m {}^{2}$

$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

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