Question

Help with these two exercises please show work for both

Answer 1

1) (8x10)+(11x14)+(5x17)=319

2) area of big rectangle-area of small rectangle
(22x40)-(16x34)=336ft^2

Answer 2

1) Divide the large shape into smaller rectangles, then find the area of each of the small rectangles and add them together. There are three rectangles (see image), let's call them A, B, and C. Use the equation: $A=lw$ where A = area, l=length, w=width.

The area of A = 14*3 = 42 $ft^{2}$.
The area of B = (10+14)*8 = 192 $ft^{2}$.
The area of C = 5*17 = 85 $ft^{2}$.

Add these three areas together. Total area of shape = 42+192+85 = 319 $ft^{2}$.

B) To find the area of the shaded portion, you must find the area of the larger rectangle and subtract the area of the smaller rectangle from it. 

The area of the large rectangle is 22*40 = 880 $ft^{2}$.
The area of the small rectangle is 16*34 = 544 $ft^{2}$.

Subtract the small rectangle from the large one: 880-544 = 336 $ft^{2}$.