Question

Question #08598

Answer 1

see explanation

Explanation:

The area of the space = xy (ie `"length"xx"breadth")`

Require to express y in terms of x

Using the fact that the perimeter = 30 (length of rope) and is used to form 3 sides of the rectangle.

Then the perimeter = x + x + y = 2x + y = 30

now 2x + y = 30 → y = 30 - 2x

`rArr " area " = xy = x(30 - 2x) = 30x - 2x^2`