Question

PLEASE HELP WILL MARK BRAINLIEST! What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.

The area of the figure is cm².

Answers: 56, 90, 146, 216

Answer 1

Answer:

The area of the figure is C. 146 cm²

Step-by-step explanation:

The figure contains trapezium and a triangle.

Area of the figure = Area of trapezium + Area of triangle

So, the area of the trapezium is given by

Area =

1/2 x (a + b) x h

1/2 x (14 + 4) x 10

1/2 x 18 x 10

= 90 cm²

Height of triangle is given by

18 - 10 = 8cm

The area of the triangle would be

1/2 x base x height

1/2 x 14 x 8

= 56 cm²

The total area of the figure is given by

90 + 56 = 146 cm²

So, C is correct.