Question
A garden is the shape of an isosceles triangle. It has a perimeter of 25 ft. The length of the shortest side of the triangle is 2 ft less than the length of one of the longer sides.
What is the length of the sides of the garden, in feet?
What is the length of the sides of the garden, in feet?
Answers
GPT 3.5
Let x be the length of the shorter side of the triangle.
Thus, the lengths of the other two sides are x + 2 ft each.
The perimeter of the triangle is x + (x + 2) + (x + 2) = 25 ft.
Combining like terms, we get 3x + 4 = 25.
Subtracting 4 from both sides, we get 3x = 21.
Dividing both sides by 3, we get x = 7 ft.
Thus, the lengths of the sides of the triangle are 7 ft, 9 ft, and 9 ft. Answer: \boxed{7, 9, 9}.
Thus, the lengths of the other two sides are x + 2 ft each.
The perimeter of the triangle is x + (x + 2) + (x + 2) = 25 ft.
Combining like terms, we get 3x + 4 = 25.
Subtracting 4 from both sides, we get 3x = 21.
Dividing both sides by 3, we get x = 7 ft.
Thus, the lengths of the sides of the triangle are 7 ft, 9 ft, and 9 ft. Answer: \boxed{7, 9, 9}.