The breadth and length of a rectangle are in the ratio 4:5 and its area is 32 sqm. What are the length and breadth?

Step-by-step explanation:

So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so Let mean length and breadth, so the ratio So if   then multiply both sides by and you get Now the equation for area is or Since our breadth equals then we substitute for the breadthSo so We know the Area is so  so we simplify Now we find the breadth, since