Answer:
6x +15
Step-by-step explanation:
To solve for the perimeter of the triangle, we need to find the length of each side.
(a +b)² = a² +2ab +b²
Let's factorise the expression for the area of the square:
Area of square
= 4x² +20x +25
= (2x +5)²
Since area of square= side ×side, length of a side of the square is the square root of its area. We are also given that the side of the square is AB.
(AB)²= (2x +5)²
Taking the square root of both sides:
AB= 2x +5
The perimeter is the sum of the lengths of all of its sides.
Perimeter of the triangle
= 3(AB)
= 3(2x +5)
= 6x +15
