Question

The area of a rectangle is 180 squared in2. The ratio of the length to the width is 5 : 4Find the length and the width. The length of the rectangle is nothing in.

Answer 1

180 in² - the area

width × lenght - the area

length : width = 5 : 4 therefore length = 5x and width = 4x

(x - some unit of length)

The equation:

(5x)(4x) = 180

20x² = 180 divide both sides by 20

x² = 9 → x = √9 → x = 3 in.

The length = 5x, therefore your answer is:

5x = 5(3 in) = 15in