Find the area $ A $ of a pyramid if slant height $s = 7$ and base area $B = 25$.

$A = 95$

STEP 1: find side $ a $

To find side $ a $ use formula:

After substituting $ B = 25 $ we have:

$$ B = a^2 $$ $$ a^2 = 25 $$ $$ a = \sqrt{ 25 } $$ $$ a = 5 $$

STEP 2: find lateral surface $ L $

To find lateral surface $ L $ use formula:

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

After substituting $ a = 5 $ and $ s = 7 $ we have:

$$ L = 10 \cdot 7 $$$$ L = 70 $$

STEP 3: find total surface $ A $

To find total surface $ A $ use formula:

$$ A = B + L $$

After substituting $ B = 25 $ and $ L = 70 $ we have:

$$ A = 25 + 70 $$ $$ A = 25 + 70 $$ $$ A = 95 $$

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