Identify and calculate the area and perimeter for each quadrilateral.

The perimeter of any shape is defined as the total distance around the shape and the area of a shape is the space occupied within the perimeter of the shape.

Answer: (a) Perimeter = 20 units and Area = 25 sq. units, (b) Perimeter = 28 units and Area = 15/2 sq. units

We will use the formula of the area of the square and rhombus to find the required area.

Explanation:

(a) Perimeter = 4 × 5 units = 20 units

Area of Square = (side)² sq. units = 25 sq. units.

(b) Perimeter = 4 × 7 units = 28 units

Area of Rhombus = (Product of Diagonals ÷ 2) sq. units = 15/2 sq. units

So, Perimeter = 20 units and Area = 25 sq. units in (a) and Perimeter = 28 units and Area = 15/2 sq. units in (b)