36 unit squares are joined to form a rectangle with the least perimete

1.	36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is(a) 12 units (b) 26 units (c) 24 units (d) 36 units
Answer» (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

36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is(a) 12 units (b) 26 units (c) 24 units (d) 36 units

Answer»

(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