# A woman has two rectangular gardens. The larger garden is five times as wide and three times as long as the smaller one. If the area of the smaller one is x, what is the difference in size of the two gardens?

##### 2 Answers

Let the length and breadth of **smaller rectangular** garden be

So the length and breadth of **larger rectangular** garden will be

Area of smaller garden

And area of larger one will be

So difference in size will be

The difference in size of the two gardens is

#### Explanation:

The smaller garden

width of the bigger garden

length of the bigger garden

Area of the bigger garden

The area of the smaller garden

Hence, if the area of the smaller one is

Area of a rectangle: example:

can't be just 15x,it must be

same with the smaller garden

If you make a sketch of the bigger garden and you

mark off 3 points on two sides and 5 points on the

other two sides and join the points,you get 15 sections.

I think the x should have been