1. You must apply the following formula:
LA=<span>1/2 ×(Perimeter of the base)(Slant length)</span>
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<span> 2. The slant length is (By </span><span> the
Pythagorean Theorem):</span>
<span> a</span><span>^2=b^2+c^2</span>
<span> </span><span>a= b^2+c^2</span>
<span> a</span><span>=</span><span>√(</span><span>1^2+3^2)</span>
<span> </span><span>a=√10</span>
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<span> 3. </span><span>The p</span><span>erimeter of the base is:</span>
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<span> </span><span>P=2+2+2+2</span>
<span> </span><span>P=8</span>
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<span> 4. </span><span>Then, you have:</span>
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<span> LA=</span><span>1/2 ×(Perimeter of the base)(Slant Length)</span>
<span> LA=</span><span>1/2 ×(8)(</span><span>√</span><span>10)</span>
<span> LA=</span><span>(</span><span>8√10)/2</span>
<span> LA=</span><span>4√10</span>
