Question

The perimeter of a rectangle is twice the perimeter of a square of side 18 units. If the breadth of the rectangle is 45, what is its area?

• A. 1360 sq. units
• B. 1152 sq. units
• C. 1050 sq. units
• D. 1215 sq. units

Answer 1

Answer:

D. 1215 sq. units

1. Calculate the perimeter of the square:

• Perimeter of square = 4 side = 4 18 units = 72 units

2. Calculate the perimeter of the rectangle:

• Perimeter of rectangle = 2 Perimeter of square = 2 72 units = 144 units

3. Calculate the length of the rectangle:

• Perimeter of rectangle = 2 * (length + breadth)

• 144 = 2 * (length + 45)

• 72 = length + 45

• Length = 72 - 45 = 27 units

4. Calculate the area of the rectangle:

• Area of rectangle = length * breadth = 27 units * 45 units = 1215 square units

Therefore, the area of the rectangle is 1215 square units.