The perimeter of a square is 20 cm. A rectangle has the same width as

1.	The perimeter of a square is 20 cm. A rectangle has the same width as the square. The length of the rectangle is double its width. The area, in square cm, of the rectangle1. 302. 503. 1004. 25
Answer» Correct Answer - Option 2 : 50 Given: Perimeter of square = 20 cm Width of rectangle = Side of square Length of rectangle = 2 × Width of rectangle Formula used: Perimeter of square = 4 × Side of square Area of rectangle = Length × Width Calculations: Let the width of rectangle be x Side of square = x Perimeter of square = 4x ⇒ 4x = 20 ⇒ x = 5 cm Length of rectangle = 2 × Width of rectangle Length of rectangle = 2 × 5 ⇒ 10 cm Area of rectangle = 5 × 10 ⇒ 50 cm² ∴ The area of the rectangle is 50 cm2

The perimeter of a square is 20 cm. A rectangle has the same width as the square. The length of the rectangle is double its width. The area, in square cm, of the rectangle1. 302. 503. 1004. 25

Answer» Correct Answer - Option 2 : 50

Given:

Perimeter of square = 20 cm

Width of rectangle = Side of square

Length of rectangle = 2 × Width of rectangle

Formula used:

Perimeter of square = 4 × Side of square

Area of rectangle = Length × Width

Calculations:
Let the width of rectangle be x

Side of square = x

Perimeter of square = 4x

⇒ 4x = 20

⇒ x = 5 cm

Length of rectangle = 2 × Width of rectangle

Length of rectangle = 2 × 5

⇒ 10 cm

Area of rectangle = 5 × 10

⇒ 50 cm²

∴ The area of the rectangle is 50 cm2

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