Answer: Longest side = 19 ft
Explanation:
We are given a triangular shaped with two equal sides.
Let length of equal side be x ft
Third side is 4 ft longer than equal side.
Third side = (x+4) ft
Three sides of triangular garden are x, x and x+4.
The perimeter of triangular garden is 49 ft.
Perimeter of triangle = Sum of all three sides
Perimeter of triangle = 49 ft
x+x+x+4=49
3x=49-4
3x=45
x=15 ft
Longest side = x+4 => 15+4
Longest side = 19 ft
Answer:
Length of the longest side = 19 feet
Step-by-step explanation:
We know that, two out of three sides of a triangle are equal and the third side is 4 feet more than the length of an equal side. Perimeter of the triangle is 49 feet.
Assuming the length of the two equal sides to be x, the length of the third side will be 4+x.
Perimeter of triangle = a + b + c
So substituting the values of the perimeter and the sides to get"
[tex]49 = x + x+4x[/tex]
[tex]49=3x+4[/tex]
[tex]3x=45[/tex]
[tex]x=15[/tex]
If x = 15 feet then the longest side = 15 + 4 = 19 feet.
