Answer :
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
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
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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