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Chapter 2: Q14. (page 84)

Geometry Find the area of the triangle shown.

Short Answer

Expert verified

The area of the given triangle is 12x+4.

Step by step solution

01

Step-1 – Distributive property

For any real numbers a, b, and c, the distributive property is given by:

ab+c=a路b+a路c

02

Step-2 – Area of triangle formula

The area of a triangle with base length b and height h is given by the formula

Area of triangle=12路b路h

03

Step-3 – Find area of given triangle

In the given triangle observe that the base length is 8 units and height of the triangle is 3x+1.

So, substitute these values of base and height in the above formula of area of tringle and simplify further as shown below

Areaoftriangle=12鈰�b鈰�h=12鈰�8鈰�(3x+1)=4(3x+1)=4鈰�(3x)+4鈰�1=12x+4

Thus, the area of the given triangle is 12x+4.

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