Question

Find the area of the shape shown below.

this is on khan academy

Answer 1

`42 \: {units}^(2)`

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 * b \\ = 12 * 1 \\ = 12 \: \: {units}^(2)`

Area of the triangle

`area = (1)/(2) * bh \\ = (1)/(2) * 5 * 12 \\ = (60)/(2) \\ = 30 \: \: {units}^(2)`

Area of the shape

`12 + 30 = 42 \: {units}^(2)`

Answer 2

42 units^2

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