Question

A flooded piece of land near the mississippi river in new orleans is to be surveyed and divided into 4 rectangles of equal dimension. Express the total amount of fencing needed as an algebraic expression in x.

Answer 1

Amount of fence required will be 4x + 5(3x- 15).

Explanation:

In the given picture, a rectangle has been equally divided into 4 small rectangles.

Length of the bigger rectangle has been given as (x + x + x + x) = 4x

Width of the same rectangle = (3x - 15)

As shown in the figure, for fencing we will require one fence measuring 4x and 5 fences measuring (3x - 15)

Total fence required = 4x + 5(3x - 15)

Therefore, 4x + 5(3x- 15) is the length of fence required.

Answer 2

Answer:
`28x-120`

Explanation:

1. To solve this problem you can find the amount of fencing of one of the rectangles and then you must multplied it by 4. Then:

-Amount of fencing of a rectangle:

`2(3x-15)+x=6x-30+x=7x-30`

- Multiply the expression obtained by 4 (because it is divided into 4 rectangles of equal dimension), then:

`4(7x-30)=28x-120`