Calculate Parallelogram Area: Using Base 9 and Height 5

Given the parallelogram of the figure

What is your area?

999555AAABBBCCCDDDEEE

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Step-by-step video solution

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00:00 Find the area of the parallelogram
00:03 Calculate the area of the parallelogram using height(DE) multiplied by side(BC)
00:11 Substitute appropriate values and solve to find the area
00:23 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the parallelogram of the figure

What is your area?

999555AAABBBCCCDDDEEE

2

Step-by-step solution

The area of a parallelogram is calculated using the formula A=base×height A = \text{base} \times \text{height} .

From the figure, we identify the base BC BC as 9 cm and the perpendicular distance (height) from point E E to BC BC as 5 cm.

Substituting into the formula for area, we have:

A=9cm×5cm=45cm2 A = 9 \, \text{cm} \times 5 \, \text{cm} = 45 \, \text{cm}^2

Therefore, the area of the parallelogram is 45cm2 45 \, \text{cm}^2 .

Looking at the provided answer choices, the correct choice is:

45 45 cm².

3

Final Answer

45 45 cm².

Practice Quiz

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Calculate the area of the parallelogram according to the data in the diagram.

101010777AAABBBCCCDDDEEE

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