Advertisements
Advertisements
Question
For what value of x is the perimeter of shape 186 cm?
Advertisements
Solution
Given, length of the given figure = (5x + 6)
And breadth of the given figure = (2x + 66)
∵ Perimeter of shape = 186 cm ...[Given]
∴ 2 × (Length + Breadth) = 186
⇒ 2 × [(5x + 6) + (2x + 66)] = 186
⇒ 2 × [7x + 72] = 186
⇒ 14x + 144 = 186
⇒ 14x = 186 – 144
⇒ 14x = 42
⇒ x = `42/14`
∴ x = 3
Hence, the value of x is 3 cm.
APPEARS IN
RELATED QUESTIONS
The sum of three consecutive multiples of 8 is 888. Find the multiples.
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
I have a total of Rs 300 in coins of denomination Re 1, Rs 2 and Rs 5. The number of Rs 2 coins is 3 times the number of Rs 5 coins. The total number of coins is 160. How many coins of each denomination are with me?
The perimeter of a rectangle is 13 cm and its width is `2 3/4` cm. Find its length.
The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?
Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.
