The herbology garden is rectangular with a perimeter of 32 feet. The length of the garden is 4 feet less than three times the width. Find the length of the garden. Enter a number only as your answer.

Question

Mathematics

Edwin

29 June, 01:41

The herbology garden is rectangular with a perimeter of 32 feet. The length of the garden is 4 feet less than three times the width. Find the length of the garden. Enter a number only as your answer.

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Peter Sullivan · Answer 1

The perimeter formula here is P = 2W + 2L.

In this situation P = 32 ft = 2 (3W-4) + 2W, or 32 ft = 6W - 8 + 2W, or

32 ft = 8W - 8.

Solve this for W by adding 8 to both sides of the equation:

40 ft = 8W. Then W = 5 ft, and L = 3 (5 ft) - 4 ft = 11 ft.

Note that P = 2 (5 ft) + 2 (11 ft) comes out to (10 + 22) ft, or 32 ft, as was given.