Quadrilateral MATH is a square. If MA = 2x – 5 and AT = x + 10, find the perimeter of the square.

Answer:
Perimeter of the square MATH = 100.
Step-by-step explanation:
Given that MATH is a square, it means all sides would be equal to each other.
Given MA = 2x - 5 and AT = x + 10.
we know all sides are equal, so MA = AT.
2x - 5 = x + 10
2x = x + 10 + 5
2x = x + 15
2x - x = 15
x = 15
So, AT = x + 10 = 15 + 10 = 25.
Now the perimeter would be (MA + AT + TH + HM) = 4*AT = 4*25 = 100.
Hence, option D is the correct answer i.e. 100.
Answer:
100
Step-by-step explanation:
Sides of a square are congruent.
2x – 5 = x + 10
x = 15
Sides = 2(15) – 5 = 25
Perimeter = 25 + 25 + 25 + 25 = 100