Question

In A pentagon ABCDE its perimeter is 52cm if AE=8cm Then find AB (AE=DE,. AB=BC=CD)

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

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Given,

Perimeter of the pentagon(ABCDE),

52 cm.

AE:8 cm,

DE:8 cm,(AE=DE),

To find:

AB,BC,CD(AB=BC=CD),

As all three sides are equal take them as x,

Sum of all sides=perimeter of pentagon,

AB+BC+CD+DE+AE=perimeter of pentagon,

Substitute the values given:

x+x+x+8+8=52 cm,

3x+16=52,

3x=52-16,

3x=36,

x=36/3,

x=12.

So the values are:

AB:12,

BC:12,

CD:12,

DE:8,

AE:8

Verification:

sum of all sides = perimeter of pentagon,

AB+BC+CD+DE+AE= perimeter of the pentagon,

Substitute the values given,

12+12+12+8+8=52,

52=52(L.H.S=R.H.S),

Hope it helps.✔✔✔

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