Nancy knows that the perimeter of her garden is 28 feet, and the length is 8 feet. She forgot to measure the width, but was able to solve for it by subtracting 16 from 28, and then dividing by 2. Which of the equations below can be solved with these steps?

Question

Mathematics

Karma

4 July, 09:11

Nancy knows that the perimeter of her garden is 28 feet, and the length is 8 feet. She forgot to measure the width, but was able to solve for it by subtracting 16 from 28, and then dividing by 2. Which of the equations below can be solved with these steps?

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Answers (1)

Know the Answer?

Collin Aguilar · Answer 1

W = (P - 2L) / 2 = (28 - 2*8) / 2 = 6

Where W is the width, P is the perimeter and L is the length of the garden.

Step-by-step explanation:

Since the equations are not given, i will try to come up with the similar equation than the ne that was the correct option in this exercise.

You can obtain the perimeter of a rectangle by summing the length of its four sides. Thus, the perimeter of the garden, lets call it P, is 2W + 2L, where W denotes the width and L the length. Since Nancy knows the perimeter, in order to calculate the width she can substract from it 2L (which is also known), and divide by 2 to obtain W, thus

W = (P - 2L) / 2

If we reemplace P by 28 and L by 8, we obtain

W = (28-8*2) / 2 = (28-16) / 2) = 12/2 = 6.