Calculate Rectangle Area: Finding ABGE with Given Measurements 5cm and 3cm

Name: Video Solution: Calculate Rectangle Area: Finding ABGE with Given Measurements 5cm and 3cm
Description: Step-by-step video solution

The trapezoid ABCD and the rectangle ABGE are shown in the figure below.

Given in cm:

AB = 5

BC = 5

GC = 3

Calculate the area of the rectangle ABGE.

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Step-by-step video solution

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00:09 Let's find the area of rectangle ABGE. Ready?

00:13 First, apply the Pythagorean theorem to triangle B, C, G.

00:17 Next, substitute the values you know, and solve for height B, G.

00:31 Good job! Now, isolate B, G by itself.

00:37 This B, G is the height, which is also a side of the rectangle.

00:42 To find the rectangle's area, multiply side four by side five.

00:49 And there you have it! That's the solution.

Step-by-step written solution

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Understand the problem

The trapezoid ABCD and the rectangle ABGE are shown in the figure below.

Given in cm:

AB = 5

BC = 5

GC = 3

Calculate the area of the rectangle ABGE.

Step-by-step solution

Let's calculate side BG using the Pythagorean theorem:

$BG^2+GC^2=BC^2$

We'll substitute the known data:

$BG^2+3^2=5^2$

$BG^2+9=25$

$BG^2=16$

$BG=\sqrt{16}=4$

Now we can calculate the area of rectangle ABGE since we have the length and width:

$5\times4=20$

Final Answer

Practice Quiz

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Angle A is equal to 30°.
Angle B is equal to 60°.
Angle C is equal to 90°.

Can these angles form a triangle?

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Calculate Rectangle Area: Finding ABGE with Given Measurements 5cm and 3cm

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Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Practice Quiz

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