For the given figure;
Perimeter = 41 cm and
Area = 49.5 cm².
Step-by-step explanation:
Step 1; The given figure consists of a rectangle and a triangle. The rectangle's length is 6 cm and the rectangle's width is 7 cm. The triangle's base is 6 cm long while its height is 2.5 cm and the third side measures 6.5 cm.
Step 2; The figure's area = The rectangle's area + The triangle's area.
The rectangle's area is given by multiplying the rectangle's length with the rectangle's width. The area of the rectangle = 7 × 6 = 42 cm².
The area of a triangle is given by multiplying [tex]\frac{1}{2}[/tex] with the product of the triangle's base and height. The area of the rectangle = [tex]\frac{1}{2}[/tex] × 6 × 2.5 = 7.5 cm².
The figure's area = 42 + 7.5 = 49.5 cm².
Step 3; The figure's perimeter = The perimeter of the rectangle + the perimeter of the triangle.
The rectangle's perimeter is 2 times the sum of the length and width. The perimeter of the rectangle = 2 × (6 + 7) = 2 × 13 = 26 cm.
The perimeter of a triangle is the sum of all the three side lengths.
The area of the triangle = 6 + 2.5 + 6.5 = 15 cm.
The perimeter of the figure = 26 + 15 = 41 cm.
