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Quadratic Equations

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA square park has the same area as a rectangle. The side of the square is 56 m, while the rectangle has breadth \(x\) m and length \((x+66)\) m. What is the value of the rectangle’s breadth \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA rectangular field has perimeter (202) m and area (2508) square m. What is the shorter side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe area of a rectangle is 2170 square centimetres, and its length is 27 centimetres more than its breadth. What is the perimeter of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA rectangle has length (15) m more than its breadth and diagonal (75) m. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe length of a rectangle is 19 cm more than its breadth, and its area is 2772 square cm. What is the length of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsA rectangle has length (23) m more than its breadth and area (2220) square m. What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe sum of two positive numbers is 90, and the sum of their squares is 4068. Find the smaller number.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe difference between two positive numbers is (19) and their product is (1632). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe sum of squares of two consecutive even positive numbers is (3044). What is the larger number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe sum of the squares of two consecutive positive odd numbers is 2314. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe sum of squares of two consecutive positive integers is (1513). What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsIn a two-digit number, the tens digit is 2 less than the units digit and the product of the digits is 24. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsA uniform border of width x metres is left along the inside of a square field. If the outer side of the field is 68 metres and the side of the remaining inner square is 44 metres, what is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA rectangular garden, 50 m long and 36 m wide, is surrounded by a uniform path of width x m. The area of the entire rectangle, including the path, is 2760 square metres. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA uniform path 4 metres wide surrounds a rectangular garden. The garden is 46 metres long and 32 metres wide. What is the area of the entire rectangle, including the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA wire is bent into a rectangle. The length is (25) cm more than the breadth and area is (2100) square cm. What is the length of the wire?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsA wire is bent into a square whose area is 2025 square cm. What is the length of the wire?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe length of a rectangle is 15 m more than its breadth. If the length is increased by 6 m and the breadth by 5 m, the new area becomes 1944 square metres. What is the approximate original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsWhen both length and breadth of a rectangle are increased by (8) cm, the area increases by (1056) square cm. If the original length is (18) cm more than the breadth, what is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe side length of a square is \(x\) cm. If reducing the side by 7 cm makes the new area 1296 square cm, what was the original side length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard