Quadrilateral XYZW IS A RECTENGULAR. If XY+YZ=7 AND XZ+YW=10, SO FIND XY?
To find the length of XY in quadrilateral XYZW, we can use the given information that XY + YZ = 7.
Explanation:
1. Let's assume that XY is represented by the variable "a". Therefore, YZ will be represented by "7 - a" according to the given equation (XY + YZ = 7).
2. Since XYZW is a rectangle, the opposite sides are equal in length. Hence, XZ will also be "a", and YW will be "7 - a" according to the opposite sides.
3. According to the second given equation (XZ + YW = 10), we can substitute the values of XZ and YW from the previous step and solve the equation.
a + (7 - a) = 10
4. Simplifying the equation:
7 = 10
5. Since the equation 7 = 10 is not true, it means that there is no value of "a" that satisfies both given equations. As a result, the length of XY cannot be determined based on the given information.
Therefore, without additional information, we cannot determine the length of XY in quadrilateral XYZW.