A path of width 3.5m runs around the curved boundary of a semicircular grassy plot whose perimeter is 72m. Find the area of the path.

A window is in the form of a rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 m. Find the dimensions of the window to admit maximum light through the whole opening.

A regular square pyramid is 3m. Height and the perimeter of its base is 16 m. Find the volume of the payment.

Answer the following by a number or a word or a sentence : A circular park has a path of uniform width around it. The difference between the outer and inner circumference of the circular path is 132m. Find the width of the circular path.

A well of diameter 14 m is dug 15 m deep. The earth taken out of it has been spread evenly to form circular embankment all around the wall of width 7 m. Find the height of the embankment.

A cuboidal pit measuring 5 m times 5 m times 20 m is dug and the earth removed from it is spread evenly on a rectangular plot measuring 50 m times 40 m. Find the height of the earth spread on the plot.

A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of widt 4 m to from on embankment. Find the heigh of the embankment.

Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36m. Find the dimensions of the garden.

The curved surface area of a cylindrical pillar is 440 m^(2) and its volume is 3080 m^(3) . Find the height of the pillar.

Sum of the areas of two squares is 468m^(2) . If the difference of their perimeter is 24m , find the sides of the two squares.