What is the slant height of a square pyramid that has a surface area of 189 square feet and a side length of 7 feet? a. 14 ft b. 12 ft c. 10 ft d. 8 ft

 The correct option is (C). 10 feet.

Step-by-step explanation:  We are given to find the slant height of a square pyramid that has a surface area of 189 square feet and a side length of 7 feet.

We know that the surface area of a square pyramid with base edge 'a' units and height 'h' units is given by

A square pyramid is shown in the attached figure.

In the given square pyramid, we have

length of the base edge, a = 7 feet,

Surface area, S.A. = 189 sq. ft.

If 'h' is the height of the pyramid, then we have

.

So, if 'l' is the slant height of the pyramid, then

Thus, the slant height of the square pyramid is 10 feet.

Option (C) is correct.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: