Find the area of the following shape. you must show

Ответ:

cheergirlpayton3510

16.07.2020

Mathematics

You can split this figure into two parts:

1. Triangle ABF with base |BF|=10

and height |AE|=3

Area of that triangle is:

$A_\Delta=\dfrac{1}{2}\cdot|BF|\cdot|AE|=\dfrac{1}{2}\cdot10\cdot3=5\cdot3=\boxed{15}$

2. Trapezoid BCDE with bases |CD|=7

and

and with height |BC|=6

. Its area:

$A_T=\dfrac{|CD|+|EB|}{2}\cdot|BC|=\dfrac{7+6}{2}\cdot6=\dfrac{13}{2}\cdot6=13\cdot3=\boxed{39}$

So area of the shape is:

$A=A_\Delta+A_T=15+39=\boxed{54\text{ units}^2}$

find the area of the following shape. you must show all work to receive credit.