The length and breadth of a rectangle are in the ratio 3 : 2. If its perimeter is 730 cm, what is the area of the rectangle?
Answer & explanation
Correct answer: option 1
We know that,
Perimeter of rectangle = 2(L + B) ,
Area of rectangle = L × B
We have,
Perimeter of Rectangle = 730 cm
Let, the length = 3a
Breadth = 2a
2(3a + 2a) = 730
= a = 73
so , length = 3a = 3 × 73 = 219 cm
Breadth = 2a = 2 × 73 = 146 cm
Area of rectangle = 219 × 146 = 31974 cm2