Answer:
x = 1, y = 20
Explanation:
The question is asking the length of two wires, so instead of area, we are looking at the perimeter.
For the triangle, the equation looks like this:
(2-x) + 15 + y
For the rectangle, the equation looks like this:
(5-x) + (y-6) × 2
Let's say that x = 2, and y = 12.
The triangles new equation would look like this:
(2-2) + 15 + 12 = 27
The rectangles new equation would look like this:
(5-2) + (12-6) × 2 = 18
The wires are the same length, so these numbers can't be correct.
Let's say that x = 1 and y = 20.
The triangles new equation would look like this:
(2-1) + 15 + 20 = 36
The rectangles new equation would look like this:
(5-1) + (20-6) × 2 = 36
These numbers are the same, so therefore the answer is
x = 1 and y = 20.