Quadrilateral
A square will. The only shape that can enclose more area with the same perimeter is a circle.
You cannot. A square can be distorted into a rhombus without changing the lengths of any of the sides, but with a different area. Similarly, the shape of any quadrilateral can be altered without affecting the length of its sides but changing its area.
The area of the quadrilateral.
Look in your math book. Square = side^2, parallelogram = base*height, etc.
Quadrilateral
If it is a quadrilateral, you take the length times the width.
A regular quadrilateral is a square. As to the measure, the answer depends on the measure of WHAT? An angle, a side, the diagonal, area, perimeter, etc.
A square is commonly either a quadrilateral with all sides of equal length and all internal angles measuring 90 degrees or a quantity multiplied by itself. A square centimeter is a unit of area equal to the area enclosed by a square whose sides are each one centimeter in length.
It is a square with lengths of 10 cm
Using trigonometry the area of the given quadrilateral works out as 0.305 square cm
A square will. The only shape that can enclose more area with the same perimeter is a circle.
You cannot. The length of the sides of a quadrilateral do not provide sufficient information to find its area. In the same way the a square can be distorted into a thinner and thinner rhombus with a smaller and smaller area, so can any quadrilateral.
You cannot. A square can be distorted into a rhombus without changing the lengths of any of the sides, but with a different area. Similarly, the shape of any quadrilateral can be altered without affecting the length of its sides but changing its area.
The area of the quadrilateral.
A square foot is a measure of area in 2-dimensional space. The fact that there are four numbers given in the question suggests that the shape is a quadrilateral of some sort. Unfortunately, the lengths of the sides of a quadrilateral are not sufficient to uniquely determine its shape. A quadrilateral is not a rigid shape and it can be "squashed" so that its area reduces to 0. Also, there is no indication as to whether the numbers given are inches, feet, miles or something else so even if the shape were rigid, it would be impossible to give the area in square feet.
To find the area of a quadrilateral, multiply the length and width of the figure. The product will give you the area of the figure.