Respuesta :
Answer:
The expression representing Area of garden is[tex]x^2-5x+6[/tex].
Step-by-step explanation:
Given:
Width of garden = [tex]x-3\ ft[/tex]
the length of the garden is 1 foot longer than the width
Hence length of garden = [tex]x-3+1=x-2\ ft[/tex]
We need to find the expression for area of garden.
Area of rectangular garden can be calculated as length times width.
Framing in equation form we get;
Area of Garden = [tex](x-3)(x-2)[/tex]
Solving the equation we get;
Area of Garden =[tex]x^2-2x-3x+6 = x^2-5x+6[/tex]
Hence The expression representing Area of garden is[tex]x^2-5x+6[/tex].
You can use variables in place of length and width of rectangle. And can use the fact that area
An expression for the area of the considered garden is
[tex]A = x^2 - 5x + 6[/tex] squared feet
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How to write an expression for the area of the garden?
Let the length of the garden be y feet.
Then as length of the garden is 1 foot longer than its width which is given to be of (x-3) feet, thus
[tex]y = 1 + (x - 3) = x -2[/tex] feet
Since the area of a rectangle is calculated by multiplying the length of the considered rectangle and multiplying it with the width of the rectangle, thus, we get:
[tex]A = length \times width\\A = (x-2)(x-3)\\A = x^2 -2x -3x + 6\\A = x^2 - 5x + 6 \: \rm feet^2[/tex]
Thus,
An expression for the area of the considered garden is
[tex]A = x^2 - 5x + 6[/tex] squared feet
Learn more about rectangles here:
brainly.com/question/2626069
