Question

A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x.

A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x.
What is the value of y?

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Answer 1

To find the value of y, we can use the fact that opposite sides of a parallelogram are equal in length. Therefore, we can set up the following equations:

10 = 10 + 2x

2y + 4 = 18

Simplifying the first equation, we get:

2x = 0

Solving for x, we get:

x = 0

Substituting x = 0 into the second equation, we get:

2y + 4 = 18

Simplifying this equation, we get:

2y = 14

Dividing both sides by 2, we get:

y = 7

Therefore, the value of y is 7.