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A rectangle and a square have the same perimeter (Fig. 6.10). (a) The area of the rectangle is _________

(b) The area of the square is _________ Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

(a) The area of the rectangle is 12 sq. units.

From figure, length of rectangle is 6 and breadth is 2.

Then, area of rectangle = length × breadth

= 6 × 2

= 12 sq. units

Perimeter of rectangle = 2 × (length + breadth)

= 2 × (6 + 2)

= 2 × 8

= 16 units

(b) The area of the square is 16 sq. Units.

From the question it is given that, rectangle and a square have the same perimeter.

So, length of each side of a square = 16/4

= 4 units.

Area of square = side × side

= 4 × 4

= 16 sq. Units

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