Question

The perimeter of the rectangle below is 102 units. Find the length of side VY.

Write your answer without variables.

Answer 1

To find the length of side VY, consider the sum of the lengths of the other sides. Let the length of side VY be x units. Solve the equation 2x + 40 = 40 to find x.

Step-by-step explanation:

To find the length of side VY, we first need to find the lengths of the other sides. Since the perimeter of the rectangle is 102 units, the sum of the lengths of the four sides is 102 units.

Let's assume that the length of side VY is x units. The sum of the lengths of sides VY and WZ is equal to the sum of the lengths of sides XY and ZW, which we can write as:

1. (x + 10) + (10 + x) = (20 + 20)
2. 2x + 20 + 20 = 40
3. 2x + 40 = 40
4. 2x = 0
5. x = 0/2
6. x = 0

Therefore, the length of side VY is 0 units.

Learn more about Rectangle Perimeter

Answer 2

VY = 21

Step-by-step explanation:

The perimeter of the rectangle below is 102 units. Find the length of side VY.

Write your answer without variables.

102 : 2 = 51 (semiperimeter)

3x + 4x + 2 = 51

7x = 49

x = 49 : 7

x = 7

VY = 3x

VY = 3 x 7

VY = 21

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check

find the other side

4x + 2 =

28 + 2 = 30

30 + 30 + 21 + 21 = 102

the answer is good