Question

1. copy the following figures onto your paper. then find the area and perimeter of each shape. assume that all corners are right angles. show all work a. 16 12 19 25 13 35 b. 12 8 8 7 7 8 8 8 12

Explanation:

Step1: Find area of part - a

Split the figure into two rectangles. One rectangle has dimensions 16×12 and the other has dimensions (35 - 16)×25.
$A_1=16\times12 = 192$
$A_2=(35 - 16)\times25=19\times25 = 475$
$A = A_1+A_2=192 + 475=667$
For perimeter, add up all the side - lengths.
$P=25 + 35+13+19+12+16=110$

Step2: Find area of part - b

Split the figure into three rectangles.
One rectangle has dimensions 12×8, another has dimensions 7×8 and the third has dimensions 12×8.
$A_1 = 12\times8=96$
$A_2=7\times8 = 56$
$A_3=12\times8=96$
$A=A_1+A_2+A_3=96 + 56+96=248$
For perimeter, add up all the side - lengths.
$P=(12 + 8+7+8+12+8+7+8)=70$

Answer:

a. Area: 667, Perimeter: 110
b. Area: 248, Perimeter: 70