The length and breadth of the rectangular grassy plot are 7:4. A path 4m wide running all around outside it has an area of 416m square . FIND DIMENSIONS OF GRASSY PLOT
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Step-by-step explanation:
Let the length and breadth be 7x and 4x
Area of rectangle
=7x×4x
=28x^2
Area of the rectangle along with the path
=28x^2+416
Which is also equal to
(7x+8)(4x+8)
=28x^2+32x+56x+64
=28x^2+88x+64
Therefore
28x^2+88x+64=28x^2+416
88x=352
x=4
Length=28m^2
Breadth=16m^2
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