Find the area $ A $ of a pyramid if slant height $s = 14$ and base area $B = 100$.

$A = 380$

STEP 1: find side $ a $

To find side $ a $ use formula:

After substituting $ B = 100 $ we have:

$$ B = a^2 $$ $$ a^2 = 100 $$ $$ a = \sqrt{ 100 } $$ $$ a = 10 $$

STEP 2: find lateral surface $ L $

To find lateral surface $ L $ use formula:

$$ L = 2 \cdot a \cdot s $$

After substituting $ a = 10 $ and $ s = 14 $ we have:

$$ L = 20 \cdot 14 $$$$ L = 280 $$

STEP 3: find total surface $ A $

To find total surface $ A $ use formula:

$$ A = B + L $$

After substituting $ B = 100 $ and $ L = 280 $ we have:

$$ A = 100 + 280 $$ $$ A = 100 + 280 $$ $$ A = 380 $$

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