Question

What is the lateral surface area of the prism below?

1200 in2
2400 in2
1392 in2
2592 in2

Answer 1

check the picture below

so, the lateral, sides, area, is just the area of the sides, well, the sides are just those three rectangles

now, the rectangle is the middle is length = 25 as well as the others, but we dunno the width, say width  = c

$\bf c=\sqrt{16^2+12^2}\implies c=\sqrt{256+144}\implies c=\sqrt{400}\implies c=20\\\\ -------------------------------\\\\ \textit{lateral area}\implies (25\cdot 16)+(25\cdot 12)+(25\cdot 20) \\\\\\ 400+300+500$