Image 1: a) the combined area of mat and photo is: 
b) factors are : 
Image 2: Option A is correct
Image 3: Width = 4 feet and Length = 2 feet
Step-by-step explanation:
Image 1:
Part A:
The combined are of mat and photo is 224
The length is: 8+2w
The width is: 10+2w
So, Area = length * width

So, the combined area of mat and photo is: 
Part B:
Now finding factors:


So, factors are : 
Image 2:
We need to find factors of 
Factorizing:


So, Option A is correct
Image 3:
Let width = w
then length = 3w-10
Area = 8
We need to find length and width
The formula used is:
Area = length * Width
9=(3w-10)*w
9=3w^2-10w
3w^2-10w-9=0
Using quadratic formula to find value of w:

Putting values:

Since width of rectangle is always positive, so: w = 4
Length= 3w-10 = 3(4)-10 =12-10 = 2
So, Width = 4 feet and Length = 2 feet
Keywords: Area of Rectangle, Quadratic Equations
Learn more about Quadratic Equations at:
#learnwithBrainly