Question

Find the area of the shFind the area of the shape shown below. 3.53.52222552222

Answer 1

Answer:

The area of the figure is 28 square units.

Step-by-step explanation:

The shape is shown in the image attached.

Notice that we can divide the given shape into one square, one right triangle and one rectangle, as the second image attached shows.

Area of the square.

The side of the square is 4 units long, so

$A_{1}=s^{2}=4^{2}=16 \ u^{2}$

Area of the triangle.

The base of the triangle is 4 units long, and its height is 2 units long.

$A_{2}=\frac{1}{2}bh=\frac{1}{2}(4)(2)=4 \ u^{2}$

Area of the rectangle.

$A_{3}=4 \times 2 = 8 \ u^{2}$

Therefore, the whole figure has an area of

$A=16+4+8=28 \ u^{2}$