Question

Dwayne’s garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is the longest side? Type a numerical answer in the space provided. Do not type spaces in your answer.

Answer 1

Length of the longest side = 19 feet

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"

`49 = x + x+4x`

`49=3x+4`

`3x=45`

`x=15`

If x = 15 feet then the longest side = 15 + 4 = 19 feet.

Answer 2

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