Today our topic of discussion is Mensuration Exercises 16.2.
Mensuration Exercises 16.2
Exercises 16.2
- The length of a rectangular region is twice its width. If its area is 512 sq. metre, determine its perimeter.
- The length of a plot is 80 metre and the breadth is 60 metre A pond was excavated in the plot. If the width of each side of the border around the pond is 4 metre, determine the area of the border of the pond.
- The length of a garden is 40 metre and its breadth is 30 metre. There is a pond inside the garden with border of equal width surrounding it. If the area of the pond is of that of the garden, find the length and breadth of 2 the pond.
- Outside a square there is a path of width 5 metre around it. If the area of the path is 500 square meter, find the area of the field. 5. The perimeter of a square region is equal to the perimeter of a rectangular region. The length of the rectangular region is thrice its breadth and the area is 768 sq. metre. How many stones will be required to cover the square region with square stones of 40 cm each?
- Area of a rectangular region is 160 sq. metre. If the length is reduced by 6 metre, it becomes a square region. Determine the length and the breadth of the rectangle. 3 7. The base of a parallelogram is th of the height and area is 363 square inches. Determine the base and the height of the parallelogram.
- The area of a parallelogram is equal to the area of a square region. If the base of the parallelogram is 125 metre and the height is 5 metre, find the length of the diagonal of the square.
- The length of two sides of a parallelogram are 30 cm and 26 cm. If its smaller diagonal is 28 cm, find the length of the other diagonal.
- The perimeter of a rhombus is 180 cm and the smaller diagonal is 54 cm. Find its other diagonal and the area.
- Difference of the length of two parallel sides of a trapezium is 8 cm and their perpendicular distance is 24 cm. If the area of the trapezium is 312 sq. cm, find the lengths of the two parallel sides of the trapezium.
- The lengths of two parallel sides of a trapezium are 31 cm and 11 cm respectively and two other sides are 10 and 12 cm respectively. Find the area of the trapezium.
- The distance from the centre to the vertex of a regular octagon is 1.5 metre Find the area of the regular octagon.
- The length of a rectangular flower garden is 150 metre and breadth is 100 metre. For nursing the garden, there is a path of width 3 metre along its length and breadth right at the middle of the garden.
1) Describe the above information with figure.
2) Determine the area of the path.
3) How many bricks of 25 cm length and 12.5 cm width will be required to make the path metalled?
- From the information of the figure below, determine the area of the polygon.
16. From the information of the figures below, determine the area of the polygons.
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