Question

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Answer 1

• Answer:

x² + 3x + 2 cm²

• Step-by-step explanation:

Length of the rectangle = x+2 cm

Breadth of the rectangle = x+1 cm

AREA OF RECTANGLE = L x B

= (x + 2) (x + 1)

= x² + x + 2x + 2

= x² + 3x + 2

AREA OF RECTANGLE = x² + 3x + 2 cm²

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Answer 2

Given

• Length of rectangle → ( x + 2 ) cm
• Breadth of rectangle → ( x + 1 ) cm

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To Find

• The area of Rectangle

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Solution

• Formula to find the Area of Rectangle → Length × Breadth
• Length → ( x + 2 ) cm
• Breadth → ( x + 1 ) cm

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Method 1

using Binomial multiplication, let's find the area of Rectangle

• (x + 2)(x + 1)
• x(x + 1) + 2(x + 1)
• x² + x + 2x + 2
• x² + 3x + 2

therefore area of the rectangle is x² + 3x + 2

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Method 2

using the identity (x + a)(x +b) = x² +(a + b)² + ab,

let's finds the area of the rectangle

→ identity = (x + a)(x +b) = x² +(a + b)² + ab

→x = x

→a = 2

→b = 1

• ( x + 2)(x + 1)
• (x)² + (2 + 1)(x) + 2(1)
• x² + 3x + 2

therefore area of the rectangle is x² + 3x + 2

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