The length of a side of a square is 5x+2 units. If it has a perimeter of 48, what is equation for the perimeter? What is the value of x? What is the area of the square? To find the perimeter of a square, take 4 times the length of one side:
4(5x + 2) = 48 is the equation for the perimeter {four times one side equals the possible perimeter} 20x + 8 = 48 {used distributive property} 20x = 40 {subtracted 8 from each side} x = 2 {divided each side by 0} To find the area of a square, just square one side: 5x + 2 is one side = 5(2) + 2 {substituted 2 for x} = 10 + 2 {multiplied} = 12 {added} Therefore, the length of one side is 12 the area is 12², which is 144 square units for the area - Algebra House
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