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Expert-verified Found in: Page 73 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Find the area of the rectangle or triangle. Area of the Rectangle is 12x – 8 sq unit.

See the step by step solution

## Step-1 – Apply the concept of Rectangle

Rectangle is a quadrilateral. Opposite sides are equal and parallel. Measurement of all four angles is ${\text{90}}^{0}$. ## Step-2 – How to find the area of the Rectangle?

Area of rectangle is $\text{length} · \text{height}$ square unit.

## Step-3 – Distributive Property of Multiplication

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: $\text{a} \text{(b} \text{+} \text{c} \text{)} = \text{a} · \text{b} + \text{a} · \text{c}$

Example: $\text{12} \text{(3} \text{+} \text{4} \text{)} = \text{12} · \text{3} + \text{12} · \text{4} = 36 + 48 = 84$

## Step 4: Find the area of the Rectangle.

In this figure the length is (3x – 2) and height = 4

We know that area of Rectangle = $\text{length} · \text{height}$

Find the area, using the distributive method of multiplication.

Property: $\text{a} \text{(b} \text{+} \text{c} \text{)} = \text{a} · \text{b} + \text{a} · \text{c}$

Area = $\text{length} · \text{height} = \left(3x-2\right) · 4 = 3x · 4 - 2 · 4 =12x - 8$ square units

Area of the Rectangle is 12x – 8 sq unit. ### Want to see more solutions like these? 