One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions

Mathematics

1 answer:

vodomira [7]3 years ago

8 0

Answer:

2(x-3)+2x=54

Step-by-step explanation:

Take the side length of the rectangle as x

For the perimeter we must have - as we also have 2 lots of a side that is 3 inches shorter than x.

$2x + 2(x-3) = 54$

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Answer:

$\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 10 = ax + bx$

Step 2: Solve for x

Factor: $\displaystyle 10 = ax + bx \rightarrow 10 = x(a + b)$
[Division Property of Equality] Divide a + b on both sides: $\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}$