Question

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

Answer 1

100

Explanation:

Sides of a square are congruent.

2x – 5 = x + 10

x = 15

Sides = 2(15) – 5 = 25

Perimeter = 25 + 25 + 25 + 25 = 100

Answer 2

Perimeter of the square MATH = 100.

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.