StudySmarter AI is coming soon!

- :00Days
- :00Hours
- :00Mins
- 00Seconds

A new era for learning is coming soonSign up for free

Suggested languages for you:

Americas

Europe

Q38.

Expert-verifiedFound in: Page 73

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.

Rectangle is a quadrilateral. Opposite sides are equal and parallel. Measurement of all four angles is ${\text{90}}^{0}$.

Area of rectangle is $\text{length}\u200a\u200a\xb7\u200a\u200a\text{height}$ square unit.

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

**Distributive Property of Multiplication **

Property: $\text{a}\u200a\u200a\text{(b}\u200a\u200a\text{+}\u200a\u200a\text{c}\u200a\u200a\text{)}\u200a\u200a=\u200a\u200a\text{a}\u200a\u200a\xb7\u200a\u200a\text{b}\u200a\u200a+\u200a\u200a\text{a}\u200a\u200a\xb7\u200a\u200a\text{c}\u200a\u200a$

Example: $\text{12}\u200a\u200a\text{(3}\u200a\u200a\text{+}\u200a\u200a\text{4}\u200a\u200a\text{)}\u200a\u200a=\u200a\u200a\text{12}\u200a\u200a\xb7\u200a\u200a\text{3}\u200a\u200a+\u200a\u200a\text{12}\u200a\u200a\xb7\u200a\u200a\text{4}\u200a\u200a=\u200a\u200a36\u200a\u200a+\u200a\u200a48\u200a\u200a=\u200a\u200a84$

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

We know that area of Rectangle = $\text{length}\u200a\u200a\xb7\u200a\u200a\text{height}$

Find the area, using the distributive method of multiplication.

Property: $\text{a}\u200a\u200a\text{(b}\u200a\u200a\text{+}\u200a\u200a\text{c}\u200a\u200a\text{)}\u200a\u200a=\u200a\u200a\text{a}\u200a\u200a\xb7\u200a\u200a\text{b}\u200a\u200a+\u200a\u200a\text{a}\u200a\u200a\xb7\u200a\u200a\text{c}\u200a\u200a$

Area = $\text{length}\u200a\u200a\xb7\u200a\u200a\text{height}\u200a\u200a=\u200a\u200a(3x-2)\u200a\u200a\xb7\u200a\u200a4\u200a\u200a=\u200a\u200a3x\u200a\u200a\xb7\u200a\u200a4\u200a\u200a-\u200a\u200a2\u200a\u200a\xb7\u200a\u200a4\u200a\u200a=12x\u200a\u200a-\u200a\u200a8$ square units

Area of the Rectangle is 12x – 8 sq unit.

94% of StudySmarter users get better grades.

Sign up for free