36 unit squares are joined to form a rectangle with the least perimeter. The perimeter of the rectangle is
(a) 12 units (b) 26 units (c) 24 units (d) 36 units
(b) 26 units
From the question it is given that, area of rectangle = 36 units2
36 can be written as = 6 × 6
= (2 × 3) × (2 × 3)
= 22 × 32
= 4 × 9
Then, the sides of the rectangle are 4 cm and 9 cm.
We know that, perimeter of the rectangle = 2 (length + breadth)
= 2 (4 + 9)
= 2 (13)
= 26 units
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