Question

Each of two equal sides of a triangle is 4 m less than three times the
dimensions of the triangle, If its perimeter is 55 m. and find the area of the
e times the third side. Find the
e area of the triangle also.​

Answer 1

Step-by-step explanation:

We don't know what the length of the 3rd side is, so we'll call this length "x"

We do know the other 2 side lengths. They are each 3x - 4.

If all three side lengths gives us a perimeter of 55 then

all we have to do is add up all three sides. This gives

us an equation.....

3x - 4 + 3x - 4 + x = 55 Now just solve...

7x - 16 = 55

7x -16 + 16 = 55 + 16

7x = 63

7x/7 = 63/7

x = 9

This value of "x" is the length of the third side. If we

substitute it into the expression for the other two sides, 3x - 4,

we get....

3x - 4

3(9) - 4

27 - 4

23

And to check....

9 + 23 + 23 = 55

55 = 55 YEAH!! You did it!

Smile! Have a great day!