SOLUTION: The lateral surface area of a right square pyramid at the right in the figure above is given by S = b times the square root of b^2+4h^2. If the pyramid has height 10 feet and later

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The lateral surface area of a right square pyramid at the right in the figure above is given by S = b times the square root of b^2+4h^2. If the pyramid has height 10 feet and later      Log On

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Question 1132558: The lateral surface area of a right square pyramid at the right in the figure above is given by S = b times the square root of b^2+4h^2. If the pyramid has height 10 feet and lateral surface are 100 square feet, what is the length of the side b of its base?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


b%2Asqrt%28b%5E2%2B4h%5E2%29+=+100
b%5E2%28b%5E2%2B4h%5E2%29+=+10000
b%5E2%28b%5E2%2B4%2810%5E2%29%29+=+10000
b%5E4%2B400b%5E2+=+10000
b%5E4%2B400b%5E2-10000+=+0

This is a quadratic equation with "b^2" as the variable. The expression does not factor, so use the quadratic formula to find the value of b^2; then take the square root to find b.