A boy started from one corner of a rectangular path and walks along the adjacent sides to reach opposite corner. If he had walked through a shortest distance diagonally, he could have saved the distance equal to five-sixth of the shortest side a park, then what is the ratio of a longest side to the shortest side?
A cyclist starts with a constant speed of 20 km/hr from a corner of a rectangular park and he completes one round along the boundary in 24 minutes. Find the area (in km2) of a park, in the ratio between the length and the breadth of a park is 5 : 3.
Ramesh rides along the boundary of a rectangular park at the rate of 12 km/hr and completes one full round in 15 minutes. If the length of the park is 4 times its breadth, then what is the area of the park?
A man has a rectangular garden 55x40m and he makes a 1m wide diagonal path as shown in the diagram. What is the area of the path?
A Greedy person is celebrating his birthday with 6 of his friends. His mother baked him a birthday cake in the shape of a regular hexagon. Wanting to keep most of the cake, he makes cuts linking the midpoints of every 2 adjacent sides, and distributes these 6 slices to his friends. What proportion of the cake does he have left for himself?
A point inside a pentagon is connected to the midpoints of the sides of the pentagon and to a corner, as shown in the figure. The areas of the six regions are written in the figure.
What is the value of A – B?
