Q. 66 The diagonal of a quadrilateral shaped field is 24 m and the perpendicular dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is

Answer: (D) 75 cm² Explanation: BD= 4x, DC= 5x Take ‘h’ as the height of both ΔABD and ΔADC. Then use (1/2)(base)(altitude) formula for both the triangles.

Q. 68 If the area of the base, height and volume of a right prism be (3√3/ 2) P^{2} cm^{2}, 100√3 cm and 7200 cm^{3} respectively, then the value of P will be

Q. 70 The amount of rice produced in a square field of side 50 m is 750 kg. The amount of rice produced in a similar square field of side 100 m will be

Q. 76 If the ratio of the altitudes of two triangles be 3 : 4 and the ratio of their corresponding areas be 4 : 3, then the ratio of their corresponding lengths of bases is

Q. 77 The length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the square by

Q. 80 If the perimeters of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2 then the ratio of the area of the rectangle and that of the square is