Question

Find area and perimeter

Answer 1

Answer: The answer is 148.8cm.

Explanation:

First, you'll split the shape into a rectangle and triangle. Second, you'll find the area of the rectangle by using A=BxH (A=6x18). It'll give you 108. Third, you'll find the triangle by using A=1/2BxH (A=1/2 9x9). It'll give 40.5. After that you'll add the 108 and 40.5 and thats your answer.

Answer 2

Answer: Area = 149.22 cm²

Perimeter = 59.5 cm

Explanation:

To find the area, we would split the figure into a rectangle and a triangle as shown in the attached photo.

To determine the area of the triangle, we would apply Heron's formula which is expressed as

Area = √S(S - a)(S - b)(S - c)

S = (a + b + c)/2

S = (9.5 + 11 + 9)/2 = 14.75

Area = √14.75(14.75 - 9.5)(14.75 - 11)(14.75 - 9)

Area = √14.75 × 5.25 × 3.75 × 5.75)

Area = √1669.75

Area = 41.22 cm²

Area of the rectangle is

18 × 6 = 108 cm²

Area of the figure is

41.22 + 108 = 149.22 cm²

The perimeter of the figure is

6 + 18 + 6 + 3 + 11 +9.5 + 6 = 59.5 cm