The area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13-x).
<h3>What is rectangle?</h3>
A rectangle is really a closed two-dimensional geometry with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal & parallel. Because rectangles is a 2-D form, it has two dimensions: length and width.
Some characteristics of rectangle are-
- The length of the rectangle is the longer side, while the width would be the shorter side.
- Because all of the angles in a rectangle are equal, it is also known as an equiangular quadrilateral. The quadrilateral is a closed 4-sided shape.
- Since a rectangle contains parallel sides, it is also known as a right-angled parallelogram.
- The parallelogram would be a quadrilateral with equal and parallel opposite sides. Rectangles are a type of parallelogram.
Now, according to the question,
Let 'P' be the perimeter of the rectangle.
Perimeter = 2(Length + Breadth)
P = 2(L + B)
The perimeter is 26 meters.
26 = 2(L + B)
L + B = 13
B = 13 - L
Now, the area of the rectangle is given as;
Area = Length×Breadth
A = L×B
Substitute the value of B in area.
A = L×(13 - L)
Area in terms of length x, Put L =x
A(x) = x(13 - x)
Therefore, the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13 - x).
To know more about the rectangle, here
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