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
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