Question

find the perimeter of the rectangle. then, find the area of the rectangle. round your answer to the nearest tenth, if necessary. perimeter: units area: square units

Explanation:

1. Assume we know the coordinates of the vertices (if not given visually estimate lengths using the grid):

• Let's assume the length of one - side of the rectangle is \(l\) and the other side is \(w\).
• First, find the length of two adjacent sides of the rectangle using the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) if the vertices are given as \((x_1,y_1)\) and \((x_2,y_2)\). If we are using the grid, we can count the number of unit - lengths along the sides.
• For example, if we can count the number of grid units along two adjacent sides:
• Step 1: Calculate the perimeter formula
• The perimeter \(P\) of a rectangle is given by \(P=2(l + w)\). Let's say we find that \(l = a\) units and \(w = b\) units (by counting grid units or using the distance formula). Then \(P = 2(a + b)\).
• Step 2: Calculate the area formula
• The area \(A\) of a rectangle is given by \(A=l\times w\). Substituting \(l = a\) and \(w = b\), we get \(A=a\times b\).

1. Let's assume we counted the grid units and found \(l = 5\) units and \(w = 3\) units:

• Perimeter calculation:
• \(P = 2(5 + 3)\)
• \(P=2\times8=16\) units.
• Area calculation:
• \(A = 5\times3=15\) square units.

Step1: Identify side - lengths

Count grid units for length \(l\) and width \(w\).

Step2: Calculate perimeter

Use \(P = 2(l + w)\) formula.

Step3: Calculate area

Use \(A=l\times w\) formula.

Answer:

Perimeter: 16 units
Area: 15 square units