the length and breadth of the rectangle pack are in ratio 8 ratio 5 .a path 1.5 m wide running all around to outside of the park has an area of 594 m square . Find the dimension of the park
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If the area is 305 sq m then,
let the length of the rectangular park be 5x
∴ breadth will be 2x
so area= l*b
5x*2x
=10x²
width of the park all around the park=2.5m
∴lenght and breadth including path (5x+2.5 +2.5)m=(5x+5) and breadth of rectangular park=(2x+2.5+2.5)=(2x+5)
thus, area of the park=[(5x+2)(2x+5)-10x²]m²=(35x+25)m²
it is given that 35x +25 =305
⇒35x=280
x=8
thus the lenght of th park=5*8=40m and breadth of the park=2*8=16m
If the area is 305 sq m then,
let the length of the rectangular park be 5x
∴ breadth will be 2x
so area= l*b
5x*2x
=10x²
width of the park all around the park=2.5m
∴lenght and breadth including path (5x+2.5 +2.5)m=(5x+5) and breadth of rectangular park=(2x+2.5+2.5)=(2x+5)
thus, area of the park=[(5x+2)(2x+5)-10x²]m²=(35x+25)m²
it is given that 35x +25 =305
⇒35x=280
x=8
thus the lenght of th park=5*8=40m and breadth of the park=2*8=16m
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