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12 votes
?The side length of a square can be expressed as 2x+3. if the area of the square is 121 square meters, what is the value of x?

2 Answers

12 votes

Answer:

x = 4 meters

Step-by-step explanation:

The area of the square is 121 sq meters. 121 is 11 squared. The shape is a square so the side must be 11 meters.

2x + 3 = 11

2x = 8

x = 4

A longer, more complicated algebrai-ish way if to solve the equation:

(2x + 3)^2 = 121

which would give the same answer. But the shape was a square, so use that fact for a simple and elegant solution.

User QuentinUK
by
3.8k points
8 votes
(2x+3)^2=121
2x+3=11
2x=8
x=4
User Lidashuang
by
4.0k points