Question

Given: PRST square

PMKD is a square
PR = a, PD = a
Find the area of PMCT.

Answer 1

The area of PMCT is 0.

Step-by-step explanation:

To find the area of PMCT, we need to determine the length of CT and TM. Since PMKD is a square, PT = PK = a. Since PRST is also a square, PT = PR = a. Therefore, RT = PR - PT = a - a = 0.

Since RT = 0, CT = RM = PK = a. Similarly, since PD = PR and RT = 0, TM = PM - PT = PD - PT = a - a = 0.

Since CT = a and TM = 0, the area of PMCT is given by the product of CT and TM, which is 0.

Answer 2

There is no difficulty in this problem until you construct the figures. How can we do it is shown in the attached picture. After drawing PRST, from the point P, we can draw PMKD and later we can complete PMCT as a result. From this picture, we can see that the side of PMCT is also a. Then, the area of this square is
`A=a^(2)`