Question

The breadth of a rectangle, which is 30 cm is equal to the side of a square and the area of the rectangle is 150 cm² more than the area of the square. What is the length of the rectangle?
1. 25 cm
2. 20 cm
3. 35 cm
4. 15 cm

Answer 1

Correct Answer - Option 3 : 35 cm

Given:

Length of rectangle = 30 cm = Length of square

Difference of area = 150 cm²

Formula used:

Area of rectangle = length × breadth

Area of square = (Side)²

Calculation:

Let the length of the rectangle be 'L'

Now, ATQ

(30 × L) - (30)² = 150

⇒ 30L = 150 + 900 = 1050

⇒ L = 1050/30 = 35 cm 

∴ The length of the rectangle is 35 cm.