Question

Find perimeter and area of figure given above

Answer 1

The figure is made up of a rectangle and a triangle.

Find the area of the rectangle:

Area = Length x Breadth

Area = 10 x 7

Area = 70 cm²

Find the area of the triangle:

Area = 1/2 x base x height

Area = 1/2 x (10 - 1 - 1) x 6

Area = 1/2 x 8 x 6

Area = 24 cm²

Find Total Area:

Total Area = 70 + 24 = 94 cm²

Find the missing length of the triangle:

a² + b²  = c²

c² = 6² + 8²

c²= 100

c = √100

c = 10 cm

Find the perimeter:

Perimeter = 6 + 10 + 1 + 7 + 10 + 7 + 1  = 42 cm

Answer: The area is 94 cm² and 42 cm