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Square Area

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

MathematicsA square tile has side \(x\) cm. When a 5 cm wide border is added around it, the total area of the outer square becomes 900 square cm. What is the original side of the tile?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsWhen the side of a square field is increased by 4 m, its area increases by 96 m². What was the original side length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe area of a square is \(225\text{ cm}^2\). When its side is increased by \(x\text{ cm}\), the new area becomes \(400\text{ cm}^2\). What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe 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 40ExpertMathematicsA 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 40ExpertMathematicsThe side of a square tile is \(x-12\) cm and its area is 1849 square cm. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe side of a square is (x+17) cm, and its area is (3249) square cm. Find the value of (x).Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe 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 42HardMathematicsA square field has a side length of \(x\) metres. If its side is increased by 10 metres, its area increases by 1700 square metres. What is the original side length \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe side of a square tile is (x-13) cm, and its area is 1600 square cm. What is the value of (x)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe side length of a square is \(x+12\) cm, and its area is \(1764\) square cm. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe 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 41HardMathematicsA 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 41HardMathematicsThe side of a square tile is \(x-8\) cm, and its area is 900 square cm. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe side of a square is \(x+6\) cm and its area is \(1225\ \text{cm}^2\). If the side length is positive, what is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsA square park has area 196 square units. If its side is increased by 4 units, what will be the new area?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41EasyMathematicsA square has side length \(x\) cm. If its side is reduced by 3 cm, its area becomes 225 square cm. What was the original side length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsA square field has a side length of \(x\) metres. If the side length is increased by 5 metres, the area increases by 425 square metres. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe side of a square tile is \((x-3)\) cm and its area is \(441\) cm². If the side length is positive, what is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe side of a square is \((x+4)\) cm, and its area is \(576\) square cm. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard