Question

A rectangular field has 80 m length and 48 m breadth.three roads each of 2 m pass through the field such that two roads are parallel to the breadth and the third road parallel to the length.find the area covered by the three roads

Answer 1

We know that width of each road is 2m.
Length of two of the roads (parallel to the breadth) = breadth = 48m.
Length of one road (parallel to the length) = length = 80m.

i] Area of two roads parallel to the breadth = 2(width * breadth)
                                                              = 2( 2*48)
                                                              = 2(96)
                                                              = 192 m. square
ii] Area of road parallel to the length = width of road * length 
                                                     = 2 * 80 
                                                     =  160 m. square
Now, subtract the areas common in both the roads :
 We can see that the length and breadth of these common areas is 2 m.
Areas of the common part = (2*2) + (2*2)
                                       = 4 + 4 
                                       = 8 m. square
Upon subtracting these from the total area of the roads :
     (192 + 160) - 8
     344 m. square
 The area covered by the three roads is 344 m. square.

Look at the attachment.

Answer 2

this is the answer

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