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A rectangular park is 260 m by 480 m. Danny usually trains by running 5 circuits around the edge of
the park. After heavy rain, two adjacent sides are too muddy to run along, so he runs a triangular path
along the other two sides and the diagonal. Danny does 5 circuits of this path for training. Show that
Danny runs about 970 metres less than his usual training session


Sagot :

Answer:

971 m to nearest metre

Step-by-step explanation:

training distance = 5*2*(260 + 480) m  

Diagonal distance = √(2602 + 4802) m

Heavy rain training distance = 5*(260 + 480 + √(2602 + 4802)) m

Difference between these:

 

5 × 2  × ( 260 + 480 ) - 5 ×( 260 + 480  + √ 260 ^ 2 + 480 ^ 2 )

   = 970 . 5311872087638744

 

difference = 971 m to nearest metre

Hope this answer helps you :)

Have a great day

Mark brainliest