Question

What is the lateral surface area of the rectangular pyramid below? NEEDS DONE ASAP

Answer 1

Answer:

The answer to your question is 684 ft²

Step-by-step explanation:

Data

Rectangle                      Triangle 1                      Triangle 2

base = 20 ft                    base = 20 ft                 base = 18 ft

height = 18 ft                   height = 9 ft                 height = 8 ft

Process

1.- Calculate the area of the rectangle

Formula

Area = base x height

Substitution

Area = 20 x 18

Result

Area = 360 ft²

2.- Calculate the area of the triangle 1

Formula

Area = base x height / 2

Substitution

Area = 20 x 9 / 2

-Result

Area = 90 ft² x 2 = 180 ft²

3.- Calculate the area of the triangles 2        

Substitution

Area = 18 x 8 / 2

Result

Area = 72 ft² x 2 = 144 ft²

4.- Calculate the area of the pyramid

Total area = 360 + 180 + 144

                 = 684 ft²