Respuesta :
Answer: The slant height of a square pyramid is 10 feet.
Step-by-step explanation:
Since we have given that
Surface area of square pyramid = 189 square feet
Length of side of square = 7 feet
Area of base will be given by
[tex]Side\times Side=Side^2=7^2=49\ ft^2[/tex]
Let 'l' be the slant height of the square pyramid.
As we know that "Formula for surface area of square pyramid" is given by
[tex]\text{Surface area}=\text{Area of base}+\frac{1}{2}\times \text{Perimeter of square}\times l\\\\189=7^2+\frac{1}{2}\times 4\times 7\times l\\\\189=49+14l\\\\189-49=14l\\\\140=14l\\\\\frac{140}{14}=l\\\\10\ feet=l[/tex]
Hence, the slant height of a square pyramid is 10 feet.
