Short Constructed Response Write the answer for each questi

Short Constructed Response - Write the answer for each question. No partial credit will be given. Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale.

Solution

Solution

As we know that opposite side of rectangle are equal to each other

therefore

AB = DC

5x = 7y+7

5x -7y =7

Now again

AD = BC

2x+6 = 20

x = 14/2 = 7

Now Plug this into first equation to solve y

5*7 -7y =7

-7y = 7-35

-y = -28/7

y = 4

Answer: x = 7 and y= 4