Question 402218
"a rectangle has an area of 432 square inches. The width of the rectangle is 3/4 times its length. find the dimensions of the rectangle."


x = length
3/4(x) = width


x[3/4(x)] = 432 {area = length x width}
3/4(x^2) = 432 {multiplied, add exponents when multiplying}
x^2 = 576 {divided both sides by 3/4, multiplied by reciprocal}
x = 24 in. length {took square root of both sides} 
3/4x = 18 in. width {substituted 24 for x, into 3/4x}


18 in x 24 in are the dimensions of the rectangle


<a href = "http://www.algebrahouse.com/" target = "_blank">www.algebrahouse.com</a>