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