If m = 12 in and n = 15 in, what is the surface area of the geometric shape formed by this net?

A

468 sq in

B

504 sq in

C

288 sq in

D

450 sq in

If m = 12 in and n = 15 in, what is the surface area of the geometric shape formed by this net? A. 468 sq in B. 504 sq in C. 288 sq in D. 450 sq in class=

Verified Answer :

the answer is B. 504

split the shape up

4 equal triagles
1 square

area of triangle=1/2bh
area of square=side^2

area of 1 triangle=1/2(m)n
area of 1 triangle=1/2(15)12
area=90
times 4 since 4 triangle
90*4=360

area of square
side=m=12
area=12^2=144

total area=square+triangles
total area=360+144=504

answer is B