1 Answer

Amarillion · Answer 1 · 2020-05-29T23:58:41+0000

Answer:

A)
$44\ cm^2$

Explanation:

Given:

Trapezoid is composed of 2 triangles and 1 rectangle.

In order to find area of trapezoid, we will find area of each shape contained in the trapezoid and add them together

Area of triangles:

Base = 2 cm

Height = 4 cm

Area of a triangle =

Plugging in given values.

Area of a triangle =
$(1)/(2)* 2* 4=4\ cm^2$

Ares of other triangle would be same as they have same height and base.

So, Area of two triangles =
$2* 4 =8\ cm^2$

Area of rectangle:

Length = 9 cm

Width = 4 cm

Area of rectangle =

Area of rectangle =
$9 * 4=36\ cm^2$

So, area of trapezoid =
$\textrm{Area of triangles + Area of rectangle}$

∴ Area of trapezoid =
$8\ cm^2+36\ cm^2=44\ cm^2$

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