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Write an expression to represent the length of each side of the rug.

Write an expression to represent the length of each side of the rug.-example-1
User Mtsz
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1 Answer

6 votes

Answer:

length of side = 10x + 3

Explanation:

The area of a square = s² ( s is the length of the side )

given

A = 100x² + 60x + 9 ← perfect square in the form

(a + b)² = a² + 2ab + b²

100x² = (10x)² ⇒ a = 10x

9 = 3² ⇒ b = 3

and 2ab = 2 × 10x × 3 = 60x, hence

100x² + 60x + 9 = (10x + 3)²

s =
√((10x+3)^2) = 10x + 3 ← length of side

User Siecje
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