There are 5 plants x that should she plant in each row so that her 25 plants end up in a square (i.e., x plants in each of x rows)
Maria wants to plant a small tomato garden in her yard. She bought 25 tomato plants, and she has read that ideally tomatoes are planted in a square grid to help them pollinate each other, as shown in the picture below.
How many plants x should she plant in each row so that her 25 plants end up in a square (i.e., x plants in each of x rows)? Express your answer as an integer.
If the gardener has x plants in each of her x rows, then the total number of plants will be [tex]x^2[/tex].
Since there are 25 total plants, the correct value of x will satisfy the equation [tex]x^2 = 25 [/tex]
By taking the square root of both sides and note that 25 has both a positive and a negative square root because you can't have a negative number of plants, hence you only want the positive square root:
You can solve this part simply by simple arithmetic.
[tex]x^2 = 25, [/tex] so [tex]x = 5, [/tex]
Grade: 9
Subject: mathematics
Chapter: Quadratic Equations
Keywords: Quadratic Equations
There should be [tex]\boxed{5{\text{ plants }}x}[/tex] in each row so that there are 25 plants in the square.
Further Explanation:
The formula of area of square can be expressed as follows,
[tex]\boxed{Area = \left( s \right) \times \left( s\right)}[/tex]
The formula of perimeter of the rectangle can be expressed as follows,
[tex]\boxed{{\text{Perimeter}} = 4 \times s}[/tex]
Here, s represents the side of square.
Given:
There should be 25 plants end up in a square.
Explanation:
Consider the number of rows as x.
The number of rows can be expressed as follows,
[tex]\begin{aligned}{x^2} &= 25\\x &= \sqrt {25}\\x &= 5\\\end{aligned}[/tex]
There should be [tex]\boxed{5{\text{ plants }}x}[/tex] in each row so that there are 25 plants in the square.
Kindly refer to the image attached.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Mensuration
Keywords: length, plants, she plant, row, 25 plants, integer, square, area, side of square, width, breadth, area, dimension, measure of sides, dimensions of rectangle, expression, plugging, square field, length of the side.
