Calculate Parallelogram Height AE Using Area = 40 cm² and Base = 8 units

Look at the parallelogram in the figure below.

Its area is equal to 40 cm².

Calculate AE.

888AAABBBCCCDDDEEE

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 First, we need to find AE, the height.
00:10 Remember, in a parallelogram, opposite sides are equal.
00:27 Now, let's use the area formula for a parallelogram.
00:31 The formula is side length CD times height AE.
00:39 We'll substitute the values we have and solve for AE.
00:55 And that's how we solve for AE. Great job!

Step-by-step written solution

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1

Understand the problem

Look at the parallelogram in the figure below.

Its area is equal to 40 cm².

Calculate AE.

888AAABBBCCCDDDEEE

2

Step-by-step solution

We are told that ABCD is a parallelogram,AB=CD=8 AB=CD=8 According to the properties of a parallelogram, each pair of opposite sides are equal and parallel.

Hence to find AE we will need to use the area given to us in the formula in order to determine the area of the parallelogram:

S=DC×AE S=DC\times AE

40=8×AE 40=8\times AE

We divide both sides of the equation by 8:

8AE:8=40:8 8AE:8=40:8

AE=5 AE=5

3

Final Answer

5 5 cm

Practice Quiz

Test your knowledge with interactive questions

A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.

Calculate the area of the parallelogram.

6664.54.54.5

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