Question

The dimensions of a school playground is such that is with is 200 feet longer than thrice its length. write an equation to represent the area of the playground,A, in terms of its length,L

Answer 1

The equation to represent the area of the playground, A, in terms of its length, L, is A = 3L^2 + 200L.

Step-by-step explanation:

The dimensions of the school playground can be represented by the length, L, and the width, W.

We are given that the width is 200 feet longer than three times the length,

so we can write the equation for the width as W = 3L + 200.

The area of the playground, A, is given by A = L * W.

Substituting the expression for the width, we have A = L * (3L + 200).

Expanding the equation further, we get A = 3L^2 + 200L, which represents the area of the playground in terms of its length, L.