Question
The perimeter of a rectangle of length 2(x + 5) cm and
breadth 2(x + 2) cm is double the perimeter of a square of area 324 cm². Find the area of the rectangle.Solution
Area of square = 324 cm² Side of square = √324 = 18 cm Perimeter of square = 18 × 4 = 72 cm So, perimeter of rectangle = 2 × 72 = 144 cm ⇒ 2(2(x + 5) + 2(x + 2)) = 144 ⇒ 4x + 14 = 72 ⇒ 4x = 58 ⇒ x = 14.5 So, length of rectangle = 2(14.5 + 5) = 39 cm And, breadth of rectangle = 2(14.5 + 2) = 33 cm Therefore, area of rectangle = 39 × 33 = 1287 cm²
Which ministry has launched ‘One Station One Product’ (OSOP) scheme over Indian Railways with objectives to promote ‘Vocal for Local’ vision of ...
The Asian Development Bank (ADB) has approved a loan package worth ________ to improve access to quality and affordable tertiary health care and medical...
SBI Card has taken an initiative for MSMEs to cater to their short-term credit requirements.What is the name of the new credit card launched by SBI Ca...
Daji Panshikar, who recently passed away at the age of 92, was known for his scholarly work on which of the following Indian epics?
Which award did writer T. Padmanabhan receive, and for what reason?
Where did India express its interest in hosting the 2036 Olympics by submitting a Letter of Intent?
Which Indian edtech startup topped TIME Magazine’s “World’s Top EdTech Companies of 2024” ranking?
Which two countries' payment networks have collaborated to enable UPI payments in Nepal?
Which city has gained the top spot on the Global Liveability Index released by the Economist Intelligence Unit (EIU)?
Which of the following is not a constitutional body?
