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How to solve this? im not sure if i get the correct answer

How to solve this? im not sure if i get the correct answer-example-1
User VIAGC
by
8.6k points

1 Answer

5 votes

Answer:

k = 3.5

Explanation:

Area of a rectangle = length × width

Area of the bigger triangle - Area of the smaller triangle = 35 cm²

Thus:

(2k + 6)(k) - (3)(k) = 35 cm²

2k² + 6k - 3k = 35

2k² + 3k - 35 = 0

Factorise

2k² + 10k - 7k - 35 = 0

2k(k + 5) -7(k + 5) = 0

(2k - 7)(k + 5) = 0

2k - 7 = 0

2k = 7

k = 3.5

Or

k + 5 = 0

k = -5

The value of k would be the positive number which is 3.5.

User JLK
by
8.1k points

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