A cabin in the shape of a regular pentagonal pyramid has a slant height of 16 feet and a base edge length of 12 feet. Paint for the cabin costs $0.75 per square foot. How much does it cost to paint the lateral face of the cabin? I WILL GIVE YOU AND HEART AND 5 STARS.

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!