1.Calculate the area of a circle with a radius measuring 7 meters.
2.Calculate the area of a quadrilateral if one of its diagonals measures 20 cm and the perpendicular distances (offsets) from the diagonal to the opposite vertices are 9 cm and 6 cm.
3.If the radius of a circle is increased by 1%, by what percentage does its area increase?
4.A canal has a trapezoidal cross-section with the top width measuring 10 meters and the bottom width measuring 6 meters. If the cross-sectional area is 640 square meters, what is the depth of the canal?
5.If the length of a square's side is increased by 25%, by what percentage does its area increase?
6.A parallelogram has an area of 128 square meters, and its height is double the length of the base. What is the length of the base?
7.A rhombus has a perimeter of 68 cm and one diagonal measuring 16 cm. What is the area of the rhombus?
8.A rhombus has diagonals measuring 15 cm and 20 cm. What is the area of the rhombus?
9.A rhombus has each side measuring 26 meters, and one of its diagonals is 20 meters long. What is the area of this rhombus?
10.If the length of a rectangle is increased by 10% and its width is increased by 25%, what is the percentage increase in its area?
11.If the length of a rectangle is increased by 25% while its width is reduced by 20%, how does this affect the area of the rectangle?
12.A rectangular lawn measures 80 meters by 60 meters and has two roads, each 10 meters wide, crossing through its center—one running along the length and the other along the width. What is the total cost to cover both roads at a rate of Rs. 3 per square meter?
13.A rectangular lawn measures 75 meters by 55 meters and is surrounded by a 2.5-meter-wide path on all sides outside the lawn. Calculate the area of this path and the total cost to build it if the construction rate is Rs. 2 per square meter.
14.A rectangle has a length that is three times its width, and its perimeter measures 96 meters. What is the area of the rectangle?
15.A square field has an area of 3136 square meters. Barbed wire, costing Rs. 1.50 per meter, is to be installed around the field with a height of 3 meters. Two gates, each 1 meter wide, will be left open as entrances. What is the total expense for the barbed wire?
16.A rectangular plot requires fencing along one of its longer sides, one of its shorter sides, and the diagonal connecting them. If the fencing costs Rs.10 per meter, and the area of the plot is 1200 m² with the shorter side measuring 30 meters, what is the total cost of fencing?
17.A rectangular field has a length that is twice its width. Within this field, there is a square pond with each side measuring 8 meters. If the pond's area is one-eighth of the total area of the field, what is the length of the field?
18.How many square tiles, each with a side length of 25 cm, are needed to cover the floor of a room measuring 4 meters by 9 meters, if a 0.25 meter gap is left around the edges?
19.What is the number of paving stones, each sized 2.5 meters by 2 meters, needed to cover a rectangular courtyard measuring 30 meters in length and 16.5 meters in width?
20.A rectangular park has its length and width in the ratio 3:2, and its total area measures 3750 square meters. What is the cost of fencing the park if the fencing rate is 50 paise per meter?