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The area of a square painting is 600 square inches. To the nearest hundredth inch, what is the perimeter of the painting?

User Jun D
by
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1 Answer

6 votes

Answer:

97.96 inches squared

Explanation:

Finding the length of all the sides of the square painting.

Área = lenght × Breath

Area = 600

(because it's a square all sides are equal meaning length is equal to breath thus representing them with L in the equation length × breath = L × L = L² )

600 = L²

taking roots of both sides.

√600 = √L²

24.49 = L

thus each side of the square painting is relatively 24.49 square inches

solving for Perimeter :

Perimeter of a square is given as = 4×L

(where L is representing the length of any of the sides because they are equal.)

but, L = 24.49

thus ;

Perimeter = 24.49 × 4

= 97.96 inches squared.

User Mrembisz
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4.6k points