Answer:
Brian's parallelogram-shaped cake top had the greater area. It was 27 in² greater than Nancy's cake top.
Step-by-step explanation:
To find the area of a parallelogram, use the formula A = b × h, where A is the area, b is the base and h is the height. Substitute the base and height into the equation.
A = 13 × 9
Then work out the equation to get:
117 = 13 × 9
This means that Brian's cake top has an area of 117 in².
Next, find the area of a triangle using the formula A = [tex]\frac{bh}{2}[/tex], where A is the area, b is the base, and h is the height. Substitute the base and height into the equation.
A = [tex]\frac{15*12}{2}[/tex]
The * symbol means the same as multiply.
Then work out the equation to get:
180 = [tex]\frac{15*12}{2}[/tex]
This means that Nancy's cake top has an area of 90 in².
We can see that Brian's cake top has a greater area than Nancy's already, but to find out how much greater, just subtract 90 from 117:
117 - 90 = 27
Hence, Brian's cake top has a greater area of 27 in².
