8,-4 : 6,-2 : 5,-1 All should add up to four.
The area of the rectangle is 105 square cm
<h3>How to determine the rectangle area?</h3>
Represent the dimensions of the rectangle with x and y
So, the length of the square would be:
Length = x - 2
Width = y + 6
The areas are then calculated as:
Rectangle = xy
Square = (x -2)(y + 6)
The relationship between the areas is:
(x -2)(y + 6) = 64 + xy
Expand
xy + 6x - 2y - 12 = 64 + xy
This gives
6x - 2y - 12 = 64
Add 12 to both sides
6x - 2y= 76
Divide through by 2
3x - y = 38
By trial by error, we have:
x = 15 and y = 7
The rectangle area is then calculated as:
Rectangle = xy
This gives
Rectangle = 15 * 7
Evaluate
Rectangle = 105
Hence, the area of the rectangle is 105 square cm
Read more about areas at:
brainly.com/question/27683633
#SPJ1
If it is a right triangle, it must fit the pythagorean theorem:
a²+b²=c²
We can plug in the sides to see if it works. Remember, that c is the hypotenuse and must be the longest side:
15²+36²=41²
225+1296=1681
1521≠1681
Therefore, these sides cannot make up a right triangle.
