The formula to find the perimeter of a rectangle is [tex]p = 2(l + w)[/tex] When we put in our givens to this formula: [tex]510 = 2 \times (3x + 2x)[/tex] Combine x values: [tex]510 = 2 \times 5x[/tex] Simplify right side: [tex]510 = 10x[/tex] Isolate x, by dividing both sides by 10: [tex]51 = x[/tex] To find length: [tex]l = 3x = 3 \times 51 = 153[/tex] For width: [tex]w = 2x = 2 \times 51 = 102[/tex] To solidify our answers: [tex]p = 2(l + w) = 2 \times (153 + 102) = 2 \times 255 = 510[/tex] So, our length is 153, our width is 102.
