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Find the perimeter of the following shape

Find the perimeter of the following shape-example-1
User Luddig
by
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1 Answer

4 votes

Answer:

perimeter = 2√10 + 2√5 ≈ 10.797

Explanation:

Perimeter = DA + AB + BC + CD

DA = CB

D(4 , 4)

A(7, 5)

DA = √(7-4)² + (5-4)²

DA = √(3)² + (1)²

DA = √9+1 = √10

AB = CD

D(4, 4)

C(3, 2)

CD = √(4-3)² + (4-2)²

CD = √(1)² + (2)²

CD = √1 + 4 = √5

Perimeter = √10 +√5+√10+√5

= 2√10 + 2√5 ≈ 10.797

User Shivashankar
by
3.8k points