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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 48 m, while the rectangle has breadth \(x\) m and length \((x+28)\) m. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsThe length of a rectangle is 16 cm more than its breadth, and its area is 2145 square cm. What is its length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsThe sum of two positive numbers is 80, and the sum of their squares is 3232. Find the smaller number.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsThe sum of the squares of two consecutive positive odd integers is 2050. What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsThe sum of squares of two consecutive positive integers is (1201). What is the smaller integer?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsA square field has an outer side of 52 m. After leaving a uniform strip of equal width on all four sides, the inner square has a side of 36 m. What is the width \(x\) of the strip?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA rectangular garden is 42 m long and 28 m wide. A path of uniform width x m is constructed outside it on all four sides. The total area of the garden and the path is 1848 square metres. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA uniform path 3 metres wide surrounds a rectangular garden. The garden is 34 metres long and 22 metres wide. What is the total area including the path?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe length of a rectangle is 9 m more than its breadth. If the length is increased by 4 m and the breadth by 3 m, the new area becomes 1190 square metres. What is the original breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe side length of a square is \(x\) cm. If the side length is reduced by 5 cm, the area of the resulting square becomes 784 square cm. What was the original side length of the square?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA square field has a side length of (x) metres. If the side is increased by 8 metres, the area increases by 1216 square metres. What is the value of (x)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsA person's present age is \(x\) years. The product of the person's age after 7 years and the age 7 years ago is 1551. What is the person's present age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsIn an age-related problem, the father's age is 32 years more than the son's age, and the product of their ages is 1280. What is the father's age?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsWhen 256 is subtracted from the square of a number, the result is 1040. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe sum of a number and its square is 1260. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe difference between the square of a positive number and 20 times the number is 621. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe square of a number is 432 more than 18 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe product of the numbers 5 less and 14 more than a positive number is 1242. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe product of the number that is 7 less than a number and the number that is 12 more than it is 756. What is the positive value of the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard MathematicsThe product of two numbers that are respectively 4 and 10 greater than a positive number is 952. What is the original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Hard