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Chapter 1: Q48. (page 20)

Write an expression to represent the perimeter of the triangle. Then find the perimeter ifx=2 andy=7.

Short Answer

Expert verified

The perimeter of the triangle is .49鈥夆赌塽苍颈迟

Step by step solution

01

– Given information.

The given value is:

x=2,鈥夆赌�y=7

And sides of the triangle are 4+5x,鈥夆赌�4+5x,鈥夆赌�3y.

02

– Write the concept.

The perimeter of the triangle is the sum of all sides so add all the side lengths to obtain the perimeter of the triangle.

03

– Write the perimeter.

The perimeter of the triangle is given in below:

P=4+5x+4+5x+3y=4+4+5x+5x+3y=8+10x+3y

04

– Evaluate the expression.

Substitutex=2,鈥夆赌�y=7 in the equation P=8+10x+3y.

P=8+10x+3y=8+102+37=8+20+21=28+21=49

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