The Davidson family wanted to expand its rectangular patio, which currently measures 15 ft by 12 ft. They want to extend the length and width the same amount to increase the total area of the patio by 160 ft^2. Which quadratic equation best models the situation?

a. (15) (12) + (x) (x) = (15) (12) + 160

b. (15x) (12x) = (15) (12) + 160

c. 2 (15+x) + 2 (12+x) = (15) (12) + 160

d. (15 + x) (12 + x) = (15) (12) + 160

Question

Braxton Waters

Mathematics

12 December, 13:57

The Davidson family wanted to expand its rectangular patio, which currently measures 15 ft by 12 ft. They want to extend the length and width the same amount to increase the total area of the patio by 160 ft^2. Which quadratic equation best models the situation?

a. (15) (12) + (x) (x) = (15) (12) + 160

b. (15x) (12x) = (15) (12) + 160

c. 2 (15+x) + 2 (12+x) = (15) (12) + 160

d. (15 + x) (12 + x) = (15) (12) + 160

+1

Answers (1)

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Alison · Answer 1

In this case, the given data in the problem is an original dimension of 15 ft by 12 ft. In this case, it is also stated that an increase in area of 160 ft2 is seen after widening the dimensions equally. The expression here that makes sense is D. (15 + x) (12 + x) = (15) (12) + 160