Mathematics
Word Problems and Applications
Practice questions
A present age is (x) years. The product of the age after (4) years and the age (4) years ago is (609). What is the present age?A 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 \(x\)?A 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?When both length and breadth of a rectangle are increased by (4) cm, the area increases by (224) square cm. If the original length is (10) cm more than the breadth, what is the breadth?The length of a rectangle is 5 m more than its breadth. If the length is increased by 3 m and the breadth by 2 m, the new area becomes 462 square metres. What was the original breadth of the rectangle?A wire is bent into a square and the area is (625) square cm. What is the length of the wire?A wire is bent into a rectangle. The length is (9) cm more than the breadth and area is (700) square cm. What is the length of the wire?A uniform path 2 metres wide runs around the outside of a rectangular garden. The garden is 20 metres long and 14 metres wide. What is the total outer area, including the path?The product of two consecutive positive integers is 56. Which quadratic equation represents this situation if the smaller integer is \(x\)?A square field has a side of 28 m, and a uniform border is left all around it. The square inside the border has a side of 20 m. What is the width \(x\) of the border?The product of two consecutive positive integers is \(306\). What is the larger integer?The product of two consecutive positive odd integers is (399). What is the smaller integer?The product of two consecutive positive even integers is 288. What is the larger integer?The sum of a number and its reciprocal is (\frac{10}{3}). What is the larger number?The length of a rectangle is 5 units more than its breadth, and its area is 204 square units. What is the length of the rectangle?The perimeter of a rectangle is 46 cm and its area is 126 cm². What is the length of its larger side?The area of a rectangle is \(216\) square units, and its length is \(6\) units more than its breadth. What is the breadth of the rectangle?The numerical value of the area of a square is 96 more than the numerical value of its perimeter. What is the side length of the square?The square of a number is 42 more than 11 times the number. What is the positive number?The sum of two numbers is (29) and their product is (204). What is the larger number?