Question

Please help

This diagram shows rectangular prism ABCDEFGH. Rectangle CDEF is formed by connecting
opposite edges CD and FE.

What is the area of rectangle CDEF? If necessary, round your answer to the nearest tenth.

Answer 1

153 in^2

Explanation:

To find the area of a rectangle, we can multiply the length and the width. The rectangle CDEF has length CF and width FE. We already know FE is the same as GH which is 9in. CF is the hypotenuse of right triangle FGC. Th legs are FG which is the same as EH, 8 and GC, which is the same as AE, 15. Using the pythagorean theorem, we can say that:

GC^2 + GF^2 = CF^2

64 + 225 = CF^2

CF^2 = 289

CF = 17

To find the rectangle's area, we multiply FE and CF to get 153 in^2