1 Answer

Zehrer · Answer 1 · 2020-10-29T02:23:07+0000

Answer:

LA = 24 ft²

Explanation:

In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:

$h^2=4^2+3^2\\\\h^2=16+9\\\\h^=25\to h=√(25)\\\\h=5\ ft$

The Lateral Area is the sum of the areas of three rectangles:

$4\ ft\ *\ 2\ ft\to A_1=(4)(2)=8\ ft^2\\\\3\ ft\ *\ 2\ ft\to A_2=(3)(2)=6\ ft^2\\\\5\ ft\ *\ 2\ \ft\to A_3=(5)(2)=10\ ft^2$

The Lateral Area:

$LA=A_1+A_2+A_3\to LA=8+6+10=24\ ft^2$