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A rectangular persian carpet has a perimeter of 228 inches. the length of the carpet is 22 inches more than the width. what are the dimensions of the carpet?

Respuesta :

Assuming x = Length, y = Width

[tex]2x + 2y = 228 \\ x = y + 22[/tex]
Substitute that into
[tex]2(y + 22) + 2y = 228 \\ 2y + 44 + 2y = 228 \\ 4y = 184 \\ y = 46[/tex]
Substitute that into
[tex]x = 46 + 22 \\ x = 68[/tex]
Answer is 68 x 46 =
[tex]3128inches^{2} [/tex]

Hope this helps. - M