Answer:
John's rectangle is 4 units long
John's rectangle is [tex]3\frac{1}{2}[/tex] units long
The area of John's rectangle is 14 units^2
Step-by-step explanation:
A rectangle has four sides that comprise of two pairs of equal length sides
The side which is the longest side of a rectangle is known as the length, L, of the rectangle
The side which is the shortest side of a rectangle is known as the width, W of the rectangle
Based on the given measurement, the length of the given rectangle which is the length of longest side of the rectangle, which is the 4 units length side
Therefore;
∴ John's Rectangle is L = 4 units long
the width of the given rectangle which is the length of shortest side of the rectangle, which is the side with lengths 3 units and 1/2 units length side
∴ The length of the shortest side of the rectangle, W = 3 units + 1/2 units = 3 1/2 units
∴ John's rectangle is W = [tex]3\frac{1}{2}[/tex] units wide
The area of John's rectangle, A = L × W
∴ The area of John's rectangle, A = 4 units × [tex]3\frac{1}{2}[/tex] units = 14 units².