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: 146

Step-by-step explanation:

Starting with the triangle, 14 * 8 (Because 10cm is used for the top part) is 112, divided in half because its a triangle.

Then, because we know 14cm is the total length of the highest point in the shape and we also know that the rectangle is only 4cm, we know that the top halves will be even. So, 5*10 = 50. Divided in 2 because its a triangle then multiplied by 2 because we have 2. Its 50.

The 4*10 is 40. 56+50+40=146.

Answer 2

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.