A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semi-circle at each end. If the area of the rectangular portion is to be maximum, then find the length of its sides.

A field has the shape of a rectangle having a semi-circle at its one end as shown in the figure.Find the area of the field.

A window is in the shape of a rectangle surmounted by a semi circle.If the perimeter of the window is of fixed length then the maximum area of the window is

Find the radius of the semic-circle. I. The area of semi-circle is equal to the area of the rectangle. II. The breadth of rectangle is 5 cm less than its length and its permeter is 50 cm.

From four corners of a square sheet of side 4 cm, four pieces, each in the shape of arc of a circle with radius 2 cm, are cut out. The area of the remaining portion is :

The inside perimeter of a running track (shown in figure) is 400m .The length of each of the straight portion is 90m and the ends are semi-circles.If track is everywhere 14m wide, find the area of the track.Also,find the length of the outer running track.

The inside perimeter of a running track (shown in figure) is 400m. The length of each of the straight portion is 90m and the ends are semi-circles. If the track is everywhere 14m wide, find the area of the track. Also find the length of the outer running track.

A playground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters,added to its outside.If the sides of the rectangle are 36m and 24.5m, find the area of the playground.(Take pi=(22)/(7))

The inner perimeter of a running track (shown in figure) is 400 m. The length of each of the straight portion is 90 m and the ends are semicircular. If the track is everywhere 14 m wide, find the area of the track. Also, find the length of the outer running track.