Mathematics: The perimeter of parallelogram ABCD is 46 inches. What is DA?

The perimeter of parallelogram ABCD is 46 inches.

schnefai000

04.10.2021

DA = 4 inches

Step-by-step explanation:

set the sides equal to each other since they are the same length. Then solve for x.

8x - 5 = 3x + 10

$8x - 5 = 3x + 10 \\ - 3x \: \: \: \: \: \: - 3x$

5x - 5 = 10

$5x - 5 = 10 \\ + 5 \: \: \: + 5$

5x = 15

$\frac{5x}{5} = \frac{15}{5}$

x = 3

Find the length of one side by substituting x with 3.

3x + 10

3(3) + 10

9 + 10 = 19

AB and DC are both 19. Find the the total of both sides.

$19 \times 2 = 38$

Subtract from the total perimeter and then divide by 2 since AD and BC are the same.

46 - 38 = 8

$8 \div 2 = 4$

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