Find the area $ A $ of a pyramid if side $a = 15.5$ and slant height $s = 19.3$.

$A = 838.55$

STEP 1: find base area $ B $

To find base area $ B $ use formula:

$$ B = a^2 $$

After substituting $ a = 15.5 $ we have:

$$ B = 15.5^2 $$ $$ B = 240.25 $$

STEP 2: find lateral surface $ L $

To find lateral surface $ L $ use formula:

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

After substituting $ a = 15.5 $ and $ s = 19.3 $ we have:

$$ L = 31 \cdot 19.3 $$$$ L = 598.3 $$

STEP 3: find total surface $ A $

To find total surface $ A $ use formula:

$$ A = B + L $$

After substituting $ B = 240.25 $ and $ L = 598.3 $ we have:

$$ A = 240.25 + 598.3 $$ $$ A = 240.25 + 598.3 $$ $$ A = 838.55 $$

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