The perimeter of the triangle ABC is 280mm. The AB side is 2 cm larger than the BC side

The perimeter of the triangle ABC is 280mm. The AB side is 2 cm larger than the BC side, and the AC side is 30 mm smaller than the AB side. Find the area of the square with the BC side.

1) Let us determine how long the BC side has, if we know that it is 2 cm less than the AB side, and the AC side is 30 mm less than the AC side, the perimeter of the triangle is 280 mm. We draw up an equation where:

X – BC;

X + 2 – AB;

X + 2 – 3 – AC;

28 – perimeter.

X + X + 2 + X + 2 – 3 = 28;

3X = 28 – 2 – 2 + 3;

3X = 27;

X = 27/3;

X = 9 cm.

2) Determine the area of the square if we found out that the side of the BC was 9 cm.

9 * 9 = 81 cm².

Answer: the area of a square with a side of 9 cm was 81 cm².