Question : The perimeter of a square is the same as the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-thirds of its length, then the area (in m2) of the rectangle is:
Option 1: 121
Option 2: 96
Option 3: 100
Option 4: 84
Correct Answer: 96
Solution : The perimeter of the square is 40 m. Now, Perimeter of rectangle = 2(Length + breadth) ⇒ The perimeter of the square = Perimeter of the rectangle ⇒ 40 = $2({\text{length}}+\frac{2}{3}\text{length})$ ⇒ 40 = $2(\frac{5}{3}\text{length})$ ⇒ Length = $\frac{40×3}{10}$ = 12 m So, Breadth = $\frac{2}{3}$ × 12 = 8 m ⇒ Area of rectangle = Length × Breadth = 12 × 8 = 96 m 2 Hence, the correct answer is 96.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : The perimeter of a square is half the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-thirds of its length, then what is the area (in m2) of the rectangle?
Question : The perimeter of a rectangle is equal to the perimeter of a square. If the length and the breadth of the rectangle are 10 cm and 8 cm, respectively, then what will be the area of the square?
Question : The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:
Question : The length of cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m2. Find the total surface area of cold storage.
Question : The length and breadth of a cuboidal store are in the ratio 2 : 1 and its height is 3.5 metres. If the area of its four walls (including doors) is 210 m2, its volume is ____.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile