Calculate EB Length When EB = 1/5 AB in a Rectangle with Area 70

The area of the rectangle is 70.

EB=15AB EB=\frac{1}{5}AB

AAABBBDDDCCCEEE707

Calculate the length of EB.

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Step-by-step video solution

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00:00 Find EB
00:03 The formula for calculating rectangle area is length (AC) times width (AB)
00:09 Let's substitute appropriate values and solve for AB
00:19 This is the size of AB
00:22 EB equals one-fifth of AB according to the given data
00:26 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

The area of the rectangle is 70.

EB=15AB EB=\frac{1}{5}AB

AAABBBDDDCCCEEE707

Calculate the length of EB.

2

Step-by-step solution

The area of rectangle ABCD equals its length multiplied by its width.

Let's substitute the known values into the formula:

70=7×AB 70=7\times AB

Now let's divide both sides by 7:

AB=10 AB=10

Since we know that EB equals one-fifth of AB, we can use the known data to calculate side EB as follows:

EB=15AB=15×10=2 EB=\frac{1}{5}AB=\frac{1}{5}\times10=2

3

Final Answer

2

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

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