Question

four horses tethered with ropes measuring 7m each to the four corners of the rectangular grass land 21m×24m in dimension. find the maximum area that can be grazed by the horses and the area that remains ungrazed.

Answer 1

Hey


Length of rectangular grass land

= 24 m

Breadth of rectangular grass land

= 21 m


So ,

Area of grass land ( rectangular )


= l * b


= 21 m * 24 m


= 264 m ² .


Now ,


Length of rope of horses are 7 m for each horse .


And ,


They graze grass in the form of quadrant .


So ,


Area grazed by one horse

= 1 / 4 * pie * 7 * 7 m²



Area covered by 4 horses

= 4 * 1 / 4 * pie * 7 * 7 m²

= 22 / 7 * 7 * 7 m²

= 22 * 7 m²

= 154 m ²


Now ,

Area grazed = 154 m² .


Area remaining

= ( 264 - 154 ) m²


= 110 m² .



♦ Answer ♦


thanks :)