Final answer:
The area of the rectangle with a breadth of 15m is 360m^2.
Step-by-step explanation:
The ratio of length to breadth of a rectangle is given as 8:5.
If the breadth of the rectangle is 15m, we can find the length of the rectangle by setting up a proportion.
Let x be the length of the rectangle.
We have the proportion 8/5 = x/15. Cross-multiplying, we get 8 * 15 = 5 * x.
Simplifying, we find x = 24m.
To find the area of the rectangle, we use the formula: Area = length * breadth.
Substituting in the values, we get Area = 24m * 15m = 360m^2.