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The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.

User Czuk
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1 Answer

7 votes

Answer:

The value of x is 6

Explanation:

The perimeter of an equilateral triangle is P = 3 × S, where S is the length of each side

∵ The perimeter of an equilateral triangle is 63 inches

P = 63 inches

→ By using the rule of the perimeter above

∵ P = 3 × S

→ Equate the right sides of P

3 × S = 63

→ Divide both sides by 3

S = 21 inches

The length of each side is 21 inches

∵ The length of each side is (4x - 3)

→ Equate (4x - 3) by the length of each side

4x - 3 = 21

→ Add 3 to both sides

∵ 4x - 3 + 3 = 21 + 3

∴ 4x = 24

→ Divide both sides by 4 to find x

x = 6

The value of x is 6

User Charles Baylis
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