The length of a vegetable garden is 4 feet longer than its width. If the area of the garden is 45 square feet, find its dimensions.

The dimension of the vegetable garden farm is 9 feet by 5 feet

Step-by-step explanation:

In this question, we are tasked with calculating the dimensions of vegetable garden that is rectangular in shape.

Let the width of the garden be x feet, since the length of the garden is 4 feet longer, the length thus have a measure of (x + 4) feet

we have the value of the area, meaning multiplying the length and the width will yield that area

x(x + 4) = 45

x^2 + 4x -45 = 0

x^2 +9x -5x -45 = 0

x(x + 9) -5(x + 9) = 0

(x-5)(x+9) = 0

x = 5 or -9

we ignore the negative and width cannot be negative

Thus, x = 5 feet

Length = x + 4 = 5 + 4 = 9 feet

google dat sis

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204