4. Consider the right triangle below. If the perimeter is 1,013 units, find the value of x and the area of the
triangle.
16x + 27
14x - 45
25x
The value of x is
The area is
square units.

16x+27+14x-45+25x=1013 units

X= 18.75

Area= b × h × (1/2)

A= 1/2 × 327 × 217.5 = 35561.25 units^2

Answers:

Explanation:

The perimeter is the sum of the exterior sides. We'll add up these three sides

and set the sum equal to the perimeter 1013

The equation we need to solve is

(16x+27)+(14x-45)+(25x) = 1013

Solving for x leads to...

(16x+27)+(14x-45)+(25x) = 1013

16x+27+14x-45+25x = 1013

(16x+14x+25x)+(27-45) = 1013

55x-18 = 1013

55x = 1013+18

55x = 1031

x = 1031/55

x = 18.74545 approximately

Use this x value to find the length of each side. I'll use the decimal form of x. We get the following side lengths:

Those values are approximate.

We can then find the area of the triangle

area = (1/2)*base*height

area = (1/2)*(326.9272)*(217.4363)

area = 35,542.92036868

area = 35,542.92

The area is approximate as well.

idk

step-by-step explanation: