Find the area of rectangle if the difference of sides is 12 cm and the

1.	Find the area of rectangle if the difference of sides is 12 cm and the sides are in the ratio 11 ∶ 9?1. 3564 square cm2. 3552 square cm3. 3660 square cm4. 3260 square cm
Answer» Correct Answer - Option 1 : 3564 square cm Given: The ratio of Sides is 11 ∶ 9 The difference of sides is 12 cm Formula used Area of rectangle = Length × Breadth Calculation: Let the ratio be x ∴ Length = 11x and Breadth = 9x And the difference of sides is 12 cm ⇒ 12 = 11x – 9x ⇒ 2x = 12 cm ⇒ x = 6 cm ∴ Length = 11x = 11 × 6 = 66 cm and Breadth = 9x = 9 × 6 = 54 cm Now, Area of rectangle = 11 × 9 × 6 × 6 ⇒ (100 – 1) × 36 ⇒ 3600 – 36 = 3564 square cm ∴ Area of rectangle is 3564 square cm

Find the area of rectangle if the difference of sides is 12 cm and the sides are in the ratio 11 ∶ 9?1. 3564 square cm2. 3552 square cm3. 3660 square cm4. 3260 square cm

Answer» Correct Answer - Option 1 : 3564 square cm

Given:

The ratio of Sides is 11 ∶ 9

The difference of sides is 12 cm

Formula used

Area of rectangle = Length × Breadth

Calculation:

Let the ratio be x

∴ Length = 11x and Breadth = 9x

And the difference of sides is 12 cm

⇒ 12 = 11x – 9x

⇒ 2x = 12 cm

⇒ x = 6 cm

∴ Length = 11x = 11 × 6 = 66 cm and Breadth = 9x = 9 × 6 = 54 cm

Now, Area of rectangle = 11 × 9 × 6 × 6

⇒ (100 – 1) × 36

⇒ 3600 – 36 = 3564 square cm

∴ Area of rectangle is 3564 square cm

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Find the area of rectangle if the difference of sides is 12 cm and the sides are in the ratio 11 ∶ 9?1. 3564 square cm2. 3552 square cm3. 3660 square cm4. 3260 square cm

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