What is the area of a rectangle whose length is 21 cm and diagonal is

1.	What is the area of a rectangle whose length is 21 cm and diagonal is 29 cm long?1. 240 cm22. 420 cm23. 440 cm24. 220 cm2
Answer» Correct Answer - Option 2 : 420 cm² Given: Diagonal = 29 cm Length = 21 cm Formula Used: Area of rectangle = Length × Breadth Calculation: Using Pythagoras theorem (Hypotenuse)² = (Base)² + (Perpendicular)² ⇒ (29)² = (21)² + (Perpendicular)² ⇒ 841 – 441 = (Perpendicular)² ⇒ √400 = Perpendicular ⇒ 20 cm = Perpendicular ⇒ 20 cm = Breadth Area of rectangle = Length × Breadth ⇒ 21 cm × 20 cm ⇒ 420 cm² ∴ The area of the rectangle is 420 cm² The correct option is 2 i.e. 420 cm2

What is the area of a rectangle whose length is 21 cm and diagonal is 29 cm long?1. 240 cm22. 420 cm23. 440 cm24. 220 cm2

Answer» Correct Answer - Option 2 : 420 cm²

Given:

Diagonal = 29 cm

Length = 21 cm

Formula Used:

Area of rectangle = Length × Breadth

Calculation:

Using Pythagoras theorem

(Hypotenuse)² = (Base)² + (Perpendicular)²

⇒ (29)² = (21)² + (Perpendicular)²

⇒ 841 – 441 = (Perpendicular)²

⇒ √400 = Perpendicular

⇒ 20 cm = Perpendicular

⇒ 20 cm = Breadth

Area of rectangle = Length × Breadth

⇒ 21 cm × 20 cm

⇒ 420 cm²

∴ The area of the rectangle is 420 cm²

The correct option is 2 i.e. 420 cm2

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What is the area of a rectangle whose length is 21 cm and diagonal is 29 cm long?1. 240 cm22. 420 cm23. 440 cm24. 220 cm2

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