From the figure given in the question, we are asked to find the area and perimeter.
(a) Area:
Since the figure is a trapezoid, the formula for the area of a trapezoid is:
Area = (a + b)h
2
Where:
a = 2
b = 5
h = 4
Area = (2 + 5)4
2
Area = 7/2 * 4
Area = 3.5 * 4
Area = 14 cm²
(b) Perimeter:
To get the perimeter, we will have to add all the side length.
But we will have to find the missin side length first.
Using pythagoras:
a² + b² = c²
Where:
a = 4
b = 3
c² = 4² + 3²
c² = 16 + 9
c² = 25
Taking square of both sides:
c = √25
c = 5
Since we have gotten the missing side length as 5cm, we can now add all the given side length to get the perimeter.
Perimeter = 4 + 2 + 5 + 5
Perimeter = 16 cm