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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।

MathematicsThe length of a rectangular garden is (5\text{ m}) more than its breadth and its area is (300\text{ m}^2). What is the breadth of the garden?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Expert MathematicsA uniform border of width (x) metres surrounds a square field. The side of the square inside the border is 60 metres, while the outer side of the field is 92 metres. What is the width (x) of the border?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsA uniform path of width x metres is built around a garden that is 64 metres long and 44 metres wide. The total area of the garden together with the path is 3996 square metres. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsA uniform path 5 m wide is built outside a rectangular garden on all four sides. The garden is 60 m long and 42 m wide. What is the total area of the outer rectangle, including the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsA wire is bent into a rectangle. The length is (30) cm more than the breadth and area is (2800) square cm. What is the length of the wire?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsA wire is bent into a square and the area is 3025 cm². What is the length of the wire?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Medium MathematicsThe length of a rectangle is 20 m more than its breadth. If the length is increased by 8 m and the breadth by 6 m, the new area becomes 3360 square metres. What was the original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsWhen both length and breadth of a rectangle are increased by (10) cm, the area increases by (1520) square cm. If the original length is (22) cm more than the breadth, what is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsThe side of a square is \(x\) cm. If reducing the side by 9 cm makes the new area 1681 square cm, what was the original side of the square?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsA square field has a side length of \(x\) metres. If its side is increased by 12 metres, the area increases by 2448 square metres. What is the original side length \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsA present age is (x) years. The product of the age after (10) years and the age (10) years ago is (1500). What is the present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsA person's present age is \(x\) years. The product of the person's age 12 years from now and 12 years ago is 2160. What is the person's present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsIn an age problem, the mother is (38) years older than her daughter and the product of their ages is (2240). What is the daughter's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsIn an age problem, the father's age is 42 years more than the son's age, and the product of their ages is 2160. What is the father's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsThe square of 22 less than a number is 2500. In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Medium MathematicsThe square of (18) more than a number is (4096). In the positive case, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsWhen 975 is subtracted from the square of a number, the result is 2625. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsWhen 399 is added to the square of a number, the result is 3208. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsThe sum of a number and its square is 2352. If the number is positive, what is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsThe difference between the square of a positive number and 40 times the number is 3825. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert