High School

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Jonah is planting a rectangular garden. The perimeter of the garden is 120 yards, and the width is 20 yards. What is the length of the garden?

Answer :

Final answer:

The length of a rectangular garden with a perimeter of 120 yards and a width of 20 yards is 40 yards.

Explanation:

The student is asked to calculate the length of a rectangular garden given the perimeter and the width of the garden. In mathematics, the perimeter of a rectangle is calculated with the formula 2(length + width). Knowing that the perimeter of the garden is 120 yards and the width is 20 yards, we can rearrange this formula to find the length of the garden: length = (perimeter / 2) - width. So, length = (120 / 2) - 20. Therefore, the length of the garden is 40 yards.

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Rewritten by : Barada

P = 2(L + W)
P = 120
W = 20

120 = 2(L + 20)
120 = 2L + 40
120 - 40 = 2L
80 = 2L
80/2 = L
40 = L

check..
120 = 2(40 + 20)
120 = 2(60)
120 = 120 (correct)

so the length of the garden (L) = 40 yds