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1.

The area of rectangle is half of the area of square. Area of square is 576 sq.m. If length of rectangle is 24m. What is the perimeter of a rectangle?1. 72 m2. 72 cm3. 288 m4. 12 m

Answer» Correct Answer - Option 1 : 72 m

Given:

Area of square = 576 sq.m

Length of rectangle = 24 m

Formula Used:

Area of rectangle = Length × Breadth

Perimeter of rectangle = 2 × (Length + Breadth)

Calculation:

Area of square = 576 sq.m

Area of rectangle = Area of square/2

⇒ Area of rectangle = 576/2

⇒ Area of rectangle = 288 Sq.m

Area of rectangle = Length × Breadth

⇒ 288 Sq.m = 24m × Breadth

⇒ 288/24 = Breadth

⇒ 12m = Breadth

Perimeter of rectangle = 2 × (Length + Breadth)

⇒ Perimeter of rectangle = 2 × (12 m + 24 m)

⇒ Perimeter of rectangle = 2 × 36 m

⇒ Perimeter of rectangle = 72 m

∴ Perimeter of rectangle is 72m.

The correct option is 1 i.e.72 m