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(1) L = 7W + 3
(2) 2L + 2W = 54
Substituting (1) in (2) ...
2(7W+3) + 2W = 54
14W + 6 + 2W = 54
16W = 48
W = 3
L = 7x3 + 3 = 24
So, length is 24 and width is 3

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Related Questions

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No, two rectangles do not have to be congruent if they have the same perimeter. Rectangles can have the same perimeter while differing in their length and width. For example, a rectangle with dimensions 4x6 has the same perimeter (20 units) as a rectangle with dimensions 5x5, but they are not congruent since their shapes and sizes differ.


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No, two rectangles with the same perimeter do not necessarily have the same area. The area of a rectangle is calculated as length multiplied by width, while the perimeter is the sum of all sides. For example, a rectangle with dimensions 2x5 (perimeter 14) has an area of 10, while a rectangle with dimensions 3x4 (also perimeter 14) has an area of 12. Thus, rectangles can have the same perimeter but different areas.


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