Through a rectangular field of sides `90` `m` `xx` `60` `m` , two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the field. If the width of the roads is 3 m, find the total area covered by the two roads.

Through a rectangular field of length 90 m and breadth 60 m , two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m , find (i) the area covered by the roads. (ii) the cost of constructing the roads at the rate of Rs 110 per m^2 .

A rectangular lawn is 30 m by 20 m. It has two roads each 2 m wide running in the middle of it one parallel to the length and the other parallel to the breadth. Find the area of the roads.

There is a rectangular field of size 94\ mxx32\ mdot Three roads each of 2 m width pass through the field such that two roads are parallel to the breadth of the field and the third is parallel to the length. Calculate: (a) Area of the field covered by the three roads (b) Area of the field not covered by the roads.

The perimeter of a triangular field is 144 m and the ratio of the sides is 3:4:5. Find the area of the field.

The length of the sides forming right angle of a right angled triangle are 5xc m and (3x-1)c mdot If the area of the triangle is 60c m^2, find its hypotenuse.

In the given figure a rectangular field is 50 m by 40 m. It has two roads through its centre, running parallel to its sides. The widths of the longer and shorter roads are 1.8 m and 2.5 m respectively. Find the area of the roads and the area of the remaining portion of the field.

A grassy plot is 80\ m\ xx60\ mdot two cross paths each 4 m wide are constructed at right angles through the centre of the field, such that each path is parallel to one of the sides of the rectangles. Find the total area used path. Also, find the cost of gravelling them at Rs. 5 per square metre.

Sum of the areas of two squares is 640 m^2 . If the difference of their perimeters is 64m, find the sides of the two squares.

Sum of the areas of two squares is 468\ m^2 . If the difference of their perimeters is 24 m, find the sides of the two squares.

A rectangular field is 30 m in length and 22 m in width. Two mutually perpendicular roads, each 2.5 m wide, are drawn inside the field so that one road is parallel to the length of the field and the other road is parallel to its width. Calculate the area of the crossroads.