Question

The length of fencing required for a rectangular garden in terms of its width, x, if it’s length is 2 units more than 1.5 times it’s width

Answer 1

Answer:

$5x+4$ units.

Step-by-step explanation:

Let x be the width of rectangle.

We have been given that the length of garden is 2 units more than 1.5 times it’s width. So length of the rectangle will be: $1.5x+2$.

To find the length of total fencing we need to figure out perimeter of rectangle with width x and length $1.5x+2$.

Since we know that perimeter of a rectangle is two times the sum of its length and width.

$\text{Perimeter of rectangle}=2(\text{Length+Width})$

Upon substituting length and width of garden in above formula we will get,

$\text{Perimeter of rectangular garden}=2(1.5x+2+x)$

$\text{Perimeter of rectangular garden}=2(2.5x+2)$

Upon using distributive property we will get,

$\text{Perimeter of rectangular garden}=2*2.5x+2*2$

$\text{Perimeter of rectangular garden}=5x+4$

Therefore, the length of required fencing will be $5x+4$ units.