MathMaster logo

MathMaster

  1. Home
  2. general
  3. the length of a rectangle is nine more than triple the width if the perimeter is 106 inches find the dimensions
Question

The length of a rectangle is nine more than triple the width. If the perimeter is 106 inches, find the dimensions.

298

likes
1490 views

Answer to a math question The length of a rectangle is nine more than triple the width. If the perimeter is 106 inches, find the dimensions.

Expert avatar
Tiffany
4.5
103 Answers
1. Let the width of the rectangle be w inches.
2. Then the length of the rectangle is 3w + 9 inches.
3. The formula for the perimeter of a rectangle is P = 2l + 2w .
4. Substituting the given perimeter and expressions for length and width:
106 = 2(3w + 9) + 2w .
5. Simplifying the equation:
106 = 6w + 18 + 2w
106 = 8w + 18
6. Subtract 18 from both sides:
106 - 18 = 8w
88 = 8w
7. Divide both sides by 8:
w = 11
8. Now calculate the length using l = 3w + 9 :
l = 3(11) + 9
l = 33 + 9
l = 42
9. Therefore, the dimensions are:
Width: w = 11 inches
Length: l = 42 inches.

Frequently asked questions (FAQs)
What is the maximum value of the quadratic function f(x) = -2x^2 + 5x - 3?
+
Question: What is the unit vector representation of vector V = 2i + 3j + 6k?
+
Question: What are the roots of the quadratic function f(x) = 2xΒ² - 5x + 3?
+
New questions in Mathematics
Solution to the equation y'' - y' - 6y = 0
Solve: βˆ’3(βˆ’2x+23)+12=6(βˆ’4x+9)+9.
If O(3,-2) is reflected across x = 2. What are the coordinates of O
The length and breadth of my rectangular vegetable garden is 12,5m and 7,25m respectively. What is the perimeter of the garden?
Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.
In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?
Two events E and F are​ ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
Divide 22 by 5 solve it by array and an area model
calculate the normal vector of line y = -0.75x + 3
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A Γ— B| = |C Γ— D|
The simple average of 15 , 30 , 40 , and 45 is
-1%2F2x-4%3D18
In a physics degree course, there is an average dropout of 17 students in the first semester. What is the probability that the number of dropouts in the first semester in a randomly selected year has between 13 and 16 students?
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A multiple choice exam is made up of 10 questions; Each question has 5 options and only one of them is correct. If a person answers at random, what is the probability of answering only 3 good questions?
Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.
A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.

You might be interested in