The ratio of the length and the breadth of a rectangle is 4:3 and the area of the rectangle is 7500 sq cm. Find the ratio of the breadth and the area of the rectangle?

Correct option is A

Given: Length : Breadth = 4:3. Area = 7500 sq cm.

Formula: Area = Length × Breadth.

Solution:
Let Length = 4x and Breadth = 3x.
Area = 4x × 3x = 12x²
We know Area = 7500.
12x² = 7500
x² = 7500 / 12 = 625
x = 25

Calculate the actual breadth:
Breadth = 3 × 25 = 75 cm.

Find the requested ratio of Breadth to Area:
Ratio = 75 : 7500
Simplify the ratio by dividing both sides by 75:
Ratio = 1 : 100.

Notice that 1:100 is mathematically identical to 2:200. This perfectly matches Option A.

Final Answer: 2:200

So the correct answer is (a)