The length of a rectangle is 12cm great her than twice it's width. If the perimeter of the rectangle is 48 cm, calculate it's length and width.

Answer: length = 20cm and width = 4cm✔️

Step-by-step explanation:

Perimeter of a rectangle = 2length + 2width } Equation 1

Since we know the length is 12cm greater than twice its width:

length = 2width + 12cm } Equation 2

We can substitute this value for length in the equation 1:

Perimeter = 2 (2width + 12cm) + 2width

Perimeter = 4width + 24cm + 2width = 6width + 24cm

Since we know the perimeter is 48cm, we can substitute here:

48cm = 6width + 24cm

6width = 48cm - 24cm = 24cm

width = 24cm/6 = 4cm✔️

Now we can substitute this value in the equation 2

length = 2width + 12cm } Equation 2

length = 2x4cm + 12cm = 8cm + 12cm = 20cm✔️

Answer: length = 20cm and width = 4cm✔️

Checking

Perimeter = 2length + 2width

Perimeter = 2x20cm + 2x4cm = 40cm + 8cm = 48cm✔️ checked!

Spymore