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in Perimeter and Area of Plane Figures by (37.8k points)
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The length of the side of a grassy square plot is 80 m. Two walking paths each 4m wide are constructed parallel to the sides of the plot such that they cut each other at the centre of the plot. Determine the area of the paths.

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Given : A square grossary plot of length 80m

Two paths of width 4m each.

From the question

KL = 4m and KN = 80m

EH = 4m and EF 80m

PQ = 4m and PS 4m

Area of two paths = KLMN + EFGH – FQRS

= KN x KL + EF × EH – PQ × PS

= 80 × 4 + 80 × 4 – 4 × 4

= 320 + 320 – 16

= 624sq.m.

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