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Chapter 2: Q38. (page 73)

Find the area of the rectangle or triangle.

Short Answer

Expert verified

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

Step by step solution

01

Step-1 – Apply the concept of Rectangle

Rectangle is a quadrilateral. Opposite sides are equal and parallel. Measurement of all four angles is900.

02

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

Area of rectangle is length  ·  heightsquare unit.

03

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

04

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  -  8square units

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

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Most popular questions from this chapter

Question: Evaluate the expression. Justify each of your steps.

−  4  ( 9 ) ( − 5)

Game Room You are building a game room adjacent to your living room. The widths of the two rooms must be the same. There are no restrictions on the game room’s length l.

a. Write an expression for the total area of both rooms by multiplying their common width by their combined length.

b. Write a second expression for the total area by finding the area of each room separately and then adding the two areas.

c. Show that the expressions from parts (a) and (b) are equivalent.

For the given expression,identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

5+8w−6−w

Use the distributive property to evaluate the expression.

(6+21) (- 3)

Which property allows you to write?

4 + (3 +9 )  =  (4 +3)+9
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