Advertisements
Advertisements
Question
The perimeter of a rectangle is 40 m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.
Advertisements
Solution
As per the given information in the question, the perimeter of a rectangle is 40 m. ...[∵ Perimeter of rectangle = 2 (length + breadth)]
Let x be the breadth of the rectangle.
Then, length of the rectangle = 5x – 4
According to the question,
2x + 2(5x – 4) = 40
⇒ 2x + 10x – 8 = 40
⇒ 12x = 48
⇒ x = 4
Hence, length of the rectangle = 5x – 4 = (5 × 4) = 20 – 4 = 16 m.
APPEARS IN
RELATED QUESTIONS
Set up equation and solve them to find the unknown number in the following case:
Anwar thinks of a number. If he takes away 7 from `5/2` of the number, the result is 23.
Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?
The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.
9 added to twice a number gives 13. Find the number.
After 25 years, Rama will be 5 times as old as he is now. Find his present age.
The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.
A girl is 28 years younger than her father. The sum of their ages is 50 years. Find the ages of the girl and her father.
In a certain examination, a total of 3768 students secured first division in the years 2006 and 2007. The number of first division in 2007 exceeded those in 2006 by 34. How many students got first division in 2006?
If one side of a square is represented by 18x – 20 and the adjacent side is represented by 42 – 13x, find the length of the side of the square.
The three scales below are perfectly balanced if • = 3. What are the values of ∆ and * ?
| a. |  |
| b. |  |
| c. |  |
