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3. A park 20 m long and 15 m broad has 2 m wide roads20 mcrossing cach other as shown. The sides of the roadswhich have been covered with stones are shown by dottedlines. Find the total length to be paved by stones.[HOTS]E-TenWhat will be the length of each side if the

Answer»

here is a similar question-

Area of the rectangle =Length×Breadth=65×50=3250m2Length×Breadth=65×50=3250m2

Given Width of the Path = 2m

Length of the Path is Parellel to the side , Hence Length = 65 m

Area of the Path 1 =Length×Width=65×2=130m2Length×Width=65×2=130m2

Given Breadth of the Path = 2m

Length of the Path2 is Parellel to the other side , Hence Length = 50 m

Area of the Path2 =Length×Breadth=50×2=100m2Length×Breadth=50×2=100m2

Add Both the Area of the Path =130+100=230m2130+100=230m2

Area of the Common Field ABCD =2×2=4m22×2=4m2

As both path are overlapping each other, so to calculate the area of shaded portion area of one square should be deducted from the area of the total path.

∴∴Total Area for the Path Construction =230−4=226m2230−4=226m2

∴∴Cost of Constructing the Path =230−4=226×69=15594



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