The difference between length and breadth of rectangle is 3 cm and are

1.	The difference between length and breadth of rectangle is 3 cm and area is 28 square cm. Find the sum of length and breadth?1. 10 cm2. 11 cm3. 12 cm4. 13 cm
Answer» Correct Answer - Option 2 : 11 cm Given: The difference between length and breadth of rectangle is 3 cm and area is 28 square cm Formula used: Area of rectangle = Length × Breadth Calculation: Let the Length of the rectangle be x cm and breadth be y cm ∴ x – y = 3 cm ⇒ x = (y + 3) Now area of rectangle is 28 square cm ∴ y × (y + 3) = 28 ⇒ y² + 3y – 28 = 0 ⇒ (y + 7) × (y - 4) = 0 ⇒ y = 4 and -7 So, the breadth of rectangle is 4 cm and length is 7 cm ∴ Sum of length and breadth = 4 + 7 = 11 cm Hence, option (2) is correct

The difference between length and breadth of rectangle is 3 cm and area is 28 square cm. Find the sum of length and breadth?1. 10 cm2. 11 cm3. 12 cm4. 13 cm

Answer» Correct Answer - Option 2 : 11 cm

Given:

The difference between length and breadth of rectangle is 3 cm and area is 28 square cm

Formula used:

Area of rectangle = Length × Breadth

Calculation:

Let the Length of the rectangle be x cm and breadth be y cm

∴ x – y = 3 cm

⇒ x = (y + 3)

Now area of rectangle is 28 square cm

∴ y × (y + 3) = 28

⇒ y² + 3y – 28 = 0

⇒ (y + 7) × (y - 4) = 0

⇒ y = 4 and -7

So, the breadth of rectangle is 4 cm and length is 7 cm

∴ Sum of length and breadth = 4 + 7 = 11 cm

Hence, option (2) is correct

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