Question

Find the area of the shape shown below.this is on khan academy

Answer 1

Answer:

$42 \: {units}^{2}$

Step-by-step explanation:

First divide the shape into triangle and a rectangle

then find the Area of the triangle and the rectangle separately

Area of the rectangle

$area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2}$

Area of the triangle

$area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2}$

Area of the shape

$12 + 30 = 42 \: {units}^{2}$

Answer 2

Answer:

42 units^2

Step-by-step explanation:

Break this into a rectangle and a triangle

The rectangle is 12 by 1

A = l*w = 12*1 =12

The triangle has a base of 6-1 =5  and a height of 12

A = 1/2 bh = 1/2 (5)*12 = 30

Add the areas together

12+30 =42