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Irina-Kira [14]
3 years ago
11

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 le

ngth and width.
Mathematics
1 answer:
posledela3 years ago
4 0

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>
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Factor........................
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For this case we have a quadratic polynomial given by:


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We must factor, for this we follow the steps below:


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