Represent the unknowns. <span>Let x = length </span> <span>since the width is 3/4 of the length, </span> <span>Let (3/4)x = width </span>
<span>Recall that the area of rectangle is just width multiplied by the length, </span> <span>A = w * l </span> <span>Substituting, </span> <span>432 = (3/4)x * x </span> <span>432 = (3/4)x^2 </span> <span>432 * 4/3 = x^2 </span> <span>576 = x^2 </span> <span>Get the square root of both sides, </span> <span>x = 24 feet (length) </span>