Answer:
Part a) The length of the mat is
Part b) The area of the mat is 
Step-by-step explanation:
step 1
Find the length
Let
L-----> the length of the rectangle
W---> the width of the rectangle
we know that
The perimeter of rectangle is


so

----> equation A
-----> equation B
substitute equation B in equation A

solve for W


Find the value of L
step 2
Find the area
The area of rectangle is equal to

substitute the values

Given:
12cm to 2.5mm
To find:
The simplified for of given statement.
Solution:
We know that,
1 cm = 10 mm
12 cm =120mm
We have,
12cm to 2.5mm
It can be written as



Therefore, the value of 12 cm to 2.5 mm is 48 or 48:1.
First, you should substitute the variables for their value in the expression.
= [ 3 (-0.5) (4)² - (-3) ] / (-0.5)
= [ 3 (-0.5) (4)² + 3 ] / (-0.5)
= [ 3 (-0.5) (16) + 3 ] / (-0.5)
= [ (-1.5) (16) + 3 ] / (-0.5)
= [ (-1.5) (16) + 3 ] / (-0.5)
= (-24+3) / (-0.5)
= -21 / -0.5
= 42
Given :
Price of property , P = $145000 .
Money paid off in two ways a short term note at 11% interest and a long term note at 8% interest.
Total interest , I = $13850 .
To Find :
The amount of each note .
Solution :
Let , x money is paid off in 11 % interest rate and ( 145000-x) in 8% interest rate.
Therefore , their sum of interest in mathematics is given by :
Therefore , the amount of note is $75000 and $70000 for 11% and 8% interest rate respectively .
Hence , this is the required solution .