Question

A rectangle has an area of 120 square cm. Its length and width are whole numbers. List the possible dimensions of the rectangle. Which possibility gives the smallest perimeter?

Answer 1

Answer: kindly check explanation

Step-by-step explanation:

Given that:

Area of rectangle = 120 cm²

Assume ; Length and width are whole numbers

Possible dimension of the rectangle will be :

Area of a rectangle = Length × width

Area = 120cm²

Possible dimensions :

80cm by 1 cm

40cm by 2cm

20cm by 4cm

10cm by 8cm

5cm by 16cm

Possibility which gives the smallest perimeter :

Dimension = 10cm by 8cm

Perimeter of Rectangle = 2(length + width)

Perimeter of Rectangle :

= 2(10 + 8)cm

= 2(18)cm

= 36cm