Answer: length = 20cm and width = 4cm✔️
Step-by-step explanation:
Perimeter of a rectangle = 2length + 2width } Equation 1
<em>Since we know the length is 12cm greater than twice its width: </em>
length = 2width + 12cm } Equation 2
<em>We can substitute this value for length in the equation 1</em> :
Perimeter = 2(2width + 12cm) + 2width
Perimeter = 4width + 24cm + 2width = 6width + 24cm
<em>Since we know the perimeter is 48cm, we can substitute here :</em>
48cm = 6width + 24cm
6width = 48cm - 24cm = 24cm
width = 24cm/6 = 4cm✔️
<em>Now we can substitute this value in the equation 2 </em>
length = 2width + 12cm } Equation 2
length = 2x4cm + 12cm = 8cm + 12cm = 20cm✔️
Answer: length = 20cm and width = 4cm✔️
<h3>Checking </h3>
Perimeter = 2length + 2width
Perimeter = 2x20cm + 2x4cm = 40cm + 8cm = 48cm✔️ checked!
<h2><em>Spymore</em></h2>
