A rectangle's perimeter and its area have the same numerical value. The width of the rectangle is 3 units. What is the length of the rectangle in units?

Question

Mathematics

Frankie

8 March, 10:39

A rectangle's perimeter and its area have the same numerical value. The width of the rectangle is 3 units. What is the length of the rectangle in units?

+5

Answers (1)

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Brogan Hardy · Answer 1

Formula

2 * (L + W) = L * W

Given

W = 3

Solution

2 * (L + 3) = 3*L

2L + 6 = 3L Subtract 2L from both sides

2L - 2L + 6 = 3L - 2L combine

6 = L

Answer: The length is 6 units long.