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Found in: Page 73


Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Find the area of the rectangle or triangle.

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

See the step by step solution

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 900.

Step-2 – How to find the area of the Rectangle? 

Area of rectangle is length·height square unit.

Step-3 – Distributive Property of Multiplication 

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

Distributive Property of Multiplication

Property: a(b+c)=a·b+a·c

Example: 12(3+4)=12·3+12·4=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 = length·height

Find the area, using the distributive method of multiplication.

Property: a(b+c)=a·b+a·c

Area = length·height=(3x-2)·4=3x·4-2·4=12x-8 square units

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

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