Answer:
LA = 24 ft²
Step-by-step explanation:
In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:
[tex]h^2=4^2+3^2\\\\h^2=16+9\\\\h^=25\to h=\sqrt{25}\\\\h=5\ ft[/tex]
The Lateral Area is the sum of the areas of three rectangles:
[tex]4\ ft\ \times\ 2\ ft\to A_1=(4)(2)=8\ ft^2\\\\3\ ft\ \times\ 2\ ft\to A_2=(3)(2)=6\ ft^2\\\\5\ ft\ \times\ 2\ \ft\to A_3=(5)(2)=10\ ft^2[/tex]
The Lateral Area:
[tex]LA=A_1+A_2+A_3\to LA=8+6+10=24\ ft^2[/tex]
