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…

Question

asked Jul 23, 2019 50.3k views

2 Answers

Sabri Mevis · Answer 1 · 2019-07-25T01:07:57+0000

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.

AkaIDIOT · Answer 2 · 2019-07-28T14:07:39+0000

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.