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10 votes
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

If the area of the following parallelogram is 30 square centimeters, what is the length-example-1

2 Answers

6 votes

Answer:

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}

User Carlos Abalde
by
7.3k points
7 votes

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.

User Ferini
by
8.0k points

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