Question

Brian frosted a cake top shaped like a parallelogram with a base of 13 inches and a height of 9 inches. nancy frosted a triangular cake top with a base of 15 inches and a height of 12 inches . which cake's top had a greater area?how much greater was it?

Answer 1

Parallelogram Formula=
A=bh
A=13*9=117in
Triangle Formula=
A=1/2bh
A=1/2*15*12=90in
Brian's cake top has a greater area, and by 27 inches.

Answer 2

Answer: Brain's parallelogram shaped cake has
`27\ in^2`greater area as compare to Nancy's triangular cake.

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 :-

`\text{Area of parallelogram}=base*height`

`\Rightarrow\text{Areaof parallelogram}=13*9=117\ in^2`

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 :-

`\text{Area of triangle}=(1)/(2)*base*height\\\\\Rightarrow\text{Area of triangle}=(1)/(2)*15*12=90\ in^2`

Clearly, 117 > 90

And Difference in areas =
`117\ in^2-90\ in^2=27\ in^2`

Therefore, Brain's parallelogram shaped cake has
`27\ in^2`greater area as compare to Nancy's triangular cake.