Question

The length of a rectangle is 5 feet less than three times its width. The perimeter is 30 feet. What are the dimensions of the rectangle?

Answer 1

Step-by-step explanation:

QUESTION :

The length of a rectangle is 5 feet less than three times its width. The perimeter is 30 feet. What are the dimensions of the rectangle?

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TO FIND :

the dimensions of the rectangle.

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ANSWER :

☞ $\bf\pink{Perimeter = 30 \: feet}$

Let's assume :

Width = x

Length = 3x - 5

$\rightarrow\green{\boxed{Perimeter \: of \: rectangle = 2 (L + B)}}$

Putting Values :

30 = 2 ( 3x - 5 + x)

30 = 2 ( 4x - 5)

15 = 4x - 5

15 + 5 = 4x

4x = 20

x = 5

Length = 3x - 5 = 3 × 5 - 5 = 10

Width = x = 5

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FINAL RESULT :

★ $\orange{\fbox{Length = 10 feet}}$

★ $\red{\fbox{Width = 5 feet}}$