Answer: Brain's parallelogram shaped cake has [tex]27\ in^2[/tex]greater area as compare to Nancy's triangular cake.
Step-by-step explanation:
Given: For Brain's parallelogram shaped cake
The base of parallelogram = 13 inches
The height of parallelogram = 9 inches
The formula to calculate area of Parallelogram is given by :-
[tex]\text{Area of parallelogram}=base*height[/tex]
[tex]\Rightarrow\text{Areaof parallelogram}=13\times9=117\ in^2[/tex]
For Nancy's triangular cake
The base of triangle = 15 inches
The height of triangle = 12 inches
The formula to calculate area of triangle is given by :-
[tex]\text{Area of triangle}=\frac{1}{2}*base*height\\\\\Rightarrow\text{Area of triangle}=\frac{1}{2}\times15\times12=90\ in^2[/tex]
Clearly, 117 > 90
And Difference in areas =[tex]117\ in^2-90\ in^2=27\ in^2[/tex]
Therefore, Brain's parallelogram shaped cake has [tex]27\ in^2[/tex]greater area as compare to Nancy's triangular cake.
