Question

The perimeter of Square is twice the perimeter of rectangle if the length and breadth of the rectangle are 7 ∶ 4. Breadth of the rectangle is 28 units. What is the Area of the square?

• A. 5814 sq units
• B. 2880 sq units
• C. 5929 sq units
• D. 1372 sq units

Answer 1

Answer:

C. 5929 sq units

Solution: Given: Breadth of rectangle = 28 units Ratio of length and breadth of a rectangle = 7 : 4 Formula used: Perimeter of a square = 4 × side Perimeter of rectangle = 2( length + breadth) Area of square = side2 Calculation: Length of rectangle = 7x Breadth of rectangle = 4x 4x = 28 units ⇒ x = 7 Length of rectangle = 7 × 7 ⇒ 49 units Perimeter of rectangle = 2(28 + 49) ⇒ 154 units Perimeter of square = twice the perimeter rectangle ⇒ 2 × 154 = 308 units 4 × side = 308 units Side = 77 units Area of square = 77 × 77 ⇒ 5929 sq.units ∴ The area of a square is 5929 sq.units.