Question

1) Salma has a garden in trapezoid shape. She wants to build a fencing around the garden.

- The length of a fencing of a garden is 39a-7.

- Three sides have the following lengths: 9a, 5a+1, and 17a-6.





a) Write an equation that can be used to identify the length of the fourth side.







b) Solve your equation to find the length of the fourth sides of the garden.



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Answer 1

a) 39a - 7 = 9a + 5a+1 + 17a-6 + X

b) 8a - 2

Explanation:

Let X be the length of the fourth side

39a - 7 = 9a + 5a+1 + 17a-6 + X

39a - 7 = 31a - 5 + X

X = 39a - 7 - 31a + 5

X = 8a - 2