Question
A rectangle has a perimeter of 160 cm. Its breadth is 40%
less than its length. Calculate the area (in cm²) of a square whose side is 20 cm shorter than the length of the rectangle.Solution
ATQ,
Let the length of the rectangle be '5y' cm
Breadth of the rectangle = (3/5) × 5y = '3y' cm
So, 2 × (5y + 3y) = 160
Or, 8y = 80
Or, 'y' = 10
Length of rectangle = 5 × 10 = 50 cm
Side of the square = 50 - 20 = 30 cm
Therefore, area of the square = (side)² = 30² = 900 cm²
More Mensuration Questions
A product is bought for Rs. 1,800. The shopkeeper tags it at 25% above the cost price and offers a discount of Rs. 200 at the time of sale. What is the ...
- If 40% of 'P' is equal to 125% of 20% of 'Q', then find the ratio of 3P : Q.
- The average age of 3 brothers is 24 years. If their ages are in the ratio 5:6:7, what is the age of the eldest brother?
- Priya needs to travel from town 'X' to town 'Y'. If she drives at a steady speed of 60 km/h, she arrives 36 minutes early. However, if she drives at 40 km/...
- If a ten-digit number 57a61395z2 is divisible by 72, then find the number of possible values of ‘a’.
- Calculate the compound interest earned on Rs. 18,000 when it is invested at 10% per annum, compounded semi-annually for 1 year.
- Find the simplified value of the expression:
81 ÷ 9 of 3 × 4 + [12 of 5 – {18 of 2 × (10/5) ÷ 36}] – 15 - Sneha cycles to her tuition class at a speed of 20 km/h and ends up reaching 3 hours late. Had she pedalled at 25 km/h, she would have reached exactly on t...
- The product of two numbers is 15.75. If one of the numbers is 4.5, then find the other number.
- The product of two decimals is 0.675. If one of the decimals is 2.5, then find the other decimal.
Relevant for Exams:
