<u>Answer with step by step explanation</u>
The perimeter of a triangle is the sum of the sides.
There fore,
<h3>
a) x + 2x - 3 + 2x + 5 = 57</h3>
Now, let us solve the above equation and find the value of x.
Let us solve.
x + 2x - 3 + 2x + 5 = 57
Combine like terms.
5x -3 + 5 = 57
5x + 2 = 57
5x = 57 - 2
5x = 55
Divide both sides by 5.
x = 11
And now they've asked us to write the lengths of three sides.
Let us write now.
<h3>b) x = <u>
11 cm</u></h3><h3> ( 2x - 3 ) ⇒ ( 2 × 11 - 3 ) ⇒ ( 22 - 3 ) ⇒ <u>
19 cm</u></h3><h3>( 2x + 5 ) ⇒ ( 2 × 11 + 5 ) ⇒ ( 22 + 5 ) ⇒ <u>
27 cm</u></h3>
Let me know if you have any other questions. :)