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Can someone help me and show how to write the perimeter equation to this polygon.

50 points

Find x for full 70 points

Can someone help me and show how to write the perimeter equation to this polygon. 50 points-example-1
User GingerBear
by
8.4k points

2 Answers

3 votes

STEP BY STEP EXPLANATION BOIZ:

A) AB + BC × 2 + AE = 21

B) The value of x is 1.3

User Henry Moshkovich
by
9.0k points
5 votes

10x + 8 = 21

x = 1.3

Explanation:

a)

In pentagon ABCDE,

AB = DE = 2x + 3 and BC = CD = x + 1

Perimeter of pentagon ABCDE = 21

4x + 2(2x + 3) + 2(x + 1) = 21

4x + 4x + 6 + 2x + 2 = 21


\purple {\boxed {\bold{10x + 8 = 21}}}

b)

10x = 21 - 8

10x = 13


x = (13)/(10) \\ x = 1.3 \: cm

User Shahidul
by
8.5k points

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