Question

If the area of the following parallelogram is 30 square centimeters, what is the length of the base?

25 cm
5 cm
6 cm
150 cm

Answer 1

Base = 6 cm

Explanation:

Given:

`\text{Area of parallelogram} \text{ = 30 cm}^(2)`

`\text{Height of parallelogram = 5 cm}`

Formula:

`\text{Area of parallelogram} = \text{Base} * \text{Height}`

Substitute the height and the area of the parallelogram:

`:\implies 30 \ \text{cm}^(2) = \text{Base} * 5`

Divide both sides by 5:

`:\implies (30)/(5) = \frac{\text{Base} * 5}{5}`

Simplify both sides:

`:\implies 6 \ \text{cm} = \text{Base}`

Answer 2

Answer: 6 cm

Explanation:

The formula for the area of a parallelogram is

hb=a

Where

b is the base

h is the height (5 for this)

and a is the area (30 for this)

Let's sub these values into our equation

`5b=30`

Divide both sides by 5 to isolate b

`5b=30\\(5b)/(5) =(30)/(5) \\b=6`

The base is 6cm long.