Question

# The area of a trapezium is 24 sq.cm The distance between its parallel sides is 4 cm. If one of the parallel sides is 7 cm, what is the measure of the other parallel side?

Hint:

### Now , find the area of Trapezium = ½ height × (sum of lengths of parallel sides).

We know the area , one of the parallel sides and height of trapezium .

Substitute them in the above area formula and obtain the length of the other parallel side.

## The correct answer is: 5cm

### Ans :- 5 cm.

Explanation :-

Given, area of trapezium = 24 sq.cm ,the length of parallel side is 7 cm

Let the length of the other parallel side be x cm .

Altitude or height = 4 cm

Area of trapezium =(height) (sum of lengths of parallel sides)

Therefore, the length of the unknown parallel side is 5 cm .

### Related Questions to study

### Babu left one-third of his property to his son, one-fourth to his daughter and the remainder to his wife. If his wife's share is Rs 1,80,000, what was the value of his property?

### Babu left one-third of his property to his son, one-fourth to his daughter and the remainder to his wife. If his wife's share is Rs 1,80,000, what was the value of his property?

### Ram's mother is four times as old as Ram now. After sixteen years, she will be twice as old as Ram. Find their present ages.

### Ram's mother is four times as old as Ram now. After sixteen years, she will be twice as old as Ram. Find their present ages.

### Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.

### Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.

### Find three consecutive odd numbers whose sum is 159.

### Find three consecutive odd numbers whose sum is 159.

### Solve 3x - 2y = 6 and

### Solve 3x - 2y = 6 and

### Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

### Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

### Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x

### Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x

### Solve 2a – 3/b = 12 and 5a – 7/b = 1

### Solve 2a – 3/b = 12 and 5a – 7/b = 1

### Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9

### Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9

### Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12

### Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12

### Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

### Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

For the solution of the system of equations above, what is the value of ?

**Note:**

The equations can be solved in many other ways like substitution

method which is: to eliminate one variable in any one of the

equations with the help of other equation. As we need to find the

value of x, we try to find the value of y in terms of x from one

equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

For the solution of the system of equations above, what is the value of ?

**Note:**

The equations can be solved in many other ways like substitution

method which is: to eliminate one variable in any one of the

equations with the help of other equation. As we need to find the

value of x, we try to find the value of y in terms of x from one

equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.