Math Help? A square is cut into two equal rectangles, each with perimeter 36. Find the area of the square.

A square is cut into two equal rectangles, each with perimeter 36. Find the area of the square.

If x is one side of the square, one side of the rectangle is x and the other is x/2, so the equation of the perimeter is:

2x + 2(x/2) = 36
x=12

This means each side of the square is 12 units. The equation for the area of a square is a=s^2 so:

A=12^2
A=144 units

A picture helps.

Draw your square with sides of length s.

Divide it into two rectangles by drawing a line down the middle.

Using only s, the perimeter of a rectangle is s + s/2 + s + s/2 = 36

Simplify.

2s + 2(s/2) = 36

3s = 36

s = 12

Remember, s is the length of the side of the square.

Square it to find the area.

Area = 12(12) = 144.

Let the side be a. When u cut the square into two equal parts , u will get two triangles. Each will have length a and width a/2. parameter,the sum of all four sides, is a+(a/2)+a+a/2.. ir 3a. 3a=36>> a=12. Area=144.

4s=36
s=9
9^2=81

324cm. I did 36/4=9 and then 9*2=18 and 18*18=324

Ans

144