Question

Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters. The height of the banner is 4 1/4 centimeters. What is the base of the banner?

Answer 1

30 cm

Explanation:

The area of a parallelogram is given by
`A=bh`

Where

A is the area

b is the base, and

h is the height

Since A and h are given, we plug that in and find the base. Shown below:

`A=bh\\127(1)/(2)=b(4(1)/(4))\\b=(127(1)/(2))/(4(1)/(4))\\b=((255)/(2))/((17)/(4))\\b=(255)/(2)*(4)/(17)=30`

Hence, the base is 30 centimeters