Solve Rectangle Area: Length = Width + 3, Area = 27 cm²

Given: the length of a rectangle is 3 greater than its width.

The area of the rectangle is equal to 27 cm².

Calculate the length of the rectangle

2727273x3x3xxxx

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Step-by-step video solution

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00:00 Calculate the length of rectangle X
00:03 Apply the formula for calculating the area of the rectangle (side x side)
00:07 Insert the relevant values into the formula according to the given data and solve for X
00:16 Isolate X
00:27 Simplify wherever possible
00:40 This is the solution

Step-by-step written solution

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1

Understand the problem

Given: the length of a rectangle is 3 greater than its width.

The area of the rectangle is equal to 27 cm².

Calculate the length of the rectangle

2727273x3x3xxxx

2

Step-by-step solution

The area of the rectangle is equal to length multiplied by width.

Let's set up the data in the formula:

27=3x×x 27=3x\times x

27=3x2 27=3x^2

273=3x23 \frac{27}{3}=\frac{3x^2}{3}

9=x2 9=x^2

x=9=3 x=\sqrt{9}=3

3

Final Answer

x=3 x=3

Practice Quiz

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Solve for X:

\( x - 3 + 5 = 8 - 2 \)

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