Question

use the diagram shown to the right to find the unknown lengths of sides. the perimeter of the triangle is 119 meters

(4x) m
(5x + 3) m
(5x + 4) m

the length of the side measuring (4x) m is 32 meters.
(simplify your answer. type an integer or a decimal.)
the length of the side measuring (5x + 3) m is □
(simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Find the value of x

We know that the length of the side \( (4x) \) m is 32 meters. So we set up the equation \( 4x = 32 \). To solve for \( x \), we divide both sides of the equation by 4:
\( x=\frac{32}{4}=8 \)

Step2: Calculate the length of \( (5x + 3) \) m

Now that we know \( x = 8 \), we substitute \( x = 8 \) into the expression \( 5x + 3 \).
First, calculate \( 5x \): \( 5\times8 = 40 \)
Then, add 3 to the result: \( 40+3 = 43 \)

Answer:

43