This image shows a square pyramid. what is the surface area of this square pyramid? 36 ft² 72 ft² 78 ft² 84 ft² note: image not drawn to scale. the figure shows a square pyramid. the slant height is shown as a dashed line perpendicular to the base edge. the length of the base edge is 6 feet. the lateral edge makes a 45 degree angle with the base edge.

The square's area is relatively simple:

A=b²
A=6²=36 ft²

But now let's observe the triangles, a triangle's area is:

A=(1/2)*b*h

the base is equal to 6 ft

b=6 ft

AC=BC----------> because the angle is 45°

AC=6 ft/2----> 3 ft

so

BC=3 ft

A=(1/2)*6*3----> 9 ft²

Multiply the triangle's area by four to account for all four triangular faces and add the squares area for your answer

Surface area=36 +4*9-----> 72 ft²

the answer is

72 ft²

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.