The area of a shape is the amount of space it can occupy.
<em>The surface area of the larger prism is 4 times the surface area of the smaller prism.
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<em>Let the dimension of one side of the smaller prism be: l and w</em>
<em>Let the dimension of one side of the bigger prism be: L and W</em>
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So, we have:


The area of these corresponding sides are:
---- the first

While, the area of the second is:


The ratio of these two sides are:

<em>This gives</em>

Cancel out common terms

Express as fractions

Also, we have:

This gives

Cross multiply


Hence, option (c) is true
Read more about areas at:
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Draw two lines that never intersects and those are parallel line. A compass and straightedge helps you make the lines straight.
A supplementary angle equals 180 degrees. if each angle is 14 times 180 (supplementary angle) it would be 2,520